C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, “Incoherent spatial solitons in effectively instantaneous nonlinear media,” Nat. Photonics 2, 371–376 (2008).

[Crossref]

A. Alberucci and G. Assanto, “Propagation of optical spatial solitons in finite-size media: interplay between nonlocality and boundary conditions,” J. Opt. Soc. Am. B 24, 2314–2320 (2007).

[Crossref]

A. Minovich, D. N. Neshev, A. Dresichuh, W. Krolikowski, and Y. S. Kivshar, “Experimental reconstruction of nonlocal response of thermal nonlinear optical media,” Opt. Lett. 32, 1599–1601 (2007).

[Crossref]
[PubMed]

I. Kaminer, C. Rotschild, O. Manela, and M. Segev, “Periodic solitons in nonlocal nonlinear Media,” Opt. Lett. 32, 3209–3211, (2007).

[Crossref]
[PubMed]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).

[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).

[Crossref]
[PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” PRL 99, 043903 (2007).

[Crossref]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).

[Crossref]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).

[Crossref]

M. Ablowitz, I. Bakirtaş, and B. Ilan, “Wave collapse in a class of nonlocal nonlinear Schrödinger equation,” Physica D 207, 230–253 (2005).

[Crossref]

P. D. Rasmussen, O. Bang, and W. Krolikowski, “Theory of nonlocal soliton interaction in nematic liquid crystals,” Phys. Rev. E 72066611 (2005).

[Crossref]

C. Rotschild, O. Cohen, O. Manela, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett 95, 213904, (2005).

[Crossref]
[PubMed]

J. E. Rothenberg and D. Grischkowsky, “Observation of the formation of an optical intensity shock and wave breaking in the nonlinear propagation of pulses in optical fibres,” Phys. Rev. Lett. 94, 040403 (2005).

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

K. D. Moll, A. L. Gaeta, and G. Fibich. “Self-similar optical wave collapse: observation of the Townes profile,” Phys. Rev. Lett. 90, 203902, (2003).

[Crossref]
[PubMed]

J. J. Garcia-Ripoll, V. V. Konotop, B. Malomed, and V. M. Perez-Garcia, “A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates,” Math. And Comp. in Sim. 6221–30 (2003).

[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).

[Crossref]
[PubMed]

O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619, (2002).

[Crossref]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, ““Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460–1462 (2002).

[Crossref]

V. M. Perez-Garcia, V. V. Konotop, and J. J. Garcia-Ripoll, “Dynamics of quasicollapse in nonlinear Schrödinger equation with nonlocal interactions,” Phys. Rev. E 62, 4300–4308 (2000).

[Crossref]

G. Fibich and G. Papanicolaou, “Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension,” SIAM J. Appl. Math. 60, 183–240, (1999).

[Crossref]

O. Bang, D. Edmundson, and W. Królikowski, “Collapse of incoherent light beams in inertial bulk Kerr media,” Phys. Rev. Lett. 83, 5479–5482 (1999).

[Crossref]

J. C. Bronski and J. N. Kutz, “Numerical simulation of the semi-classical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 254, 325–336 (1999).

[Crossref]

P. D. Miller and S. Kamvissis, “On the semiclassical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 247, 75–86 (1998).

[Crossref]

L. Berge, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259–370, (1998).

[Crossref]

A. W. Snyder and D. J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).

[Crossref]

G. Fibich, “Small beam nonparaxiality arrests self-focusing of optical beams,” Phys. Rev. Lett. 76, 4356–4359, (1996).

[Crossref]
[PubMed]

G. A. El and A. L. Krylov, “General-solution of the Cauchy-problem for the defocusing NLS equation in the Whitham limit,” Phys. Rev. A 203, 77–82 (1995).

O. Bang, J. J. Rasmussen, and P. L. Christiansen, “Subcritical localization in the discrete nonlinear Schrödinger-equation with arbitrary power nonlinearity,” Nonlinearity 7, 205–218 (1994).

[Crossref]

R. Camassa and D. D. Holm, “An integrable shallow water equation with peaked solitons,” Phys. Rev. Lett. 71, 1661–1664 (1993).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[Crossref]
[PubMed]

V. N Tsytovich and R Bingham, “Arrest of wave collapse and transitional damping,” Comments Plasma Phys. Controlled Fusion 14361–368 (1992).

A. V. Gurevich and A. L. Krylov, “Nondissipative shock waves in media with positive dispersion,” Zh. Eksp. Teor. Fiz. 921684–1699 (1987).

A. G. Litvak and A. M. Sergeev, “One-dimensional collapse of plasma waves,” JETP Lett. 27, 517–520 (1978).

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482, (1964).

[Crossref]

E. Madelung, “Quantetheorie in hydrodynamischer form’” Z. Phys. 40, 322–326 (1927).

[Crossref]

M. Ablowitz, I. Bakirtaş, and B. Ilan, “Wave collapse in a class of nonlocal nonlinear Schrödinger equation,” Physica D 207, 230–253 (2005).

[Crossref]

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

A. Alberucci and G. Assanto, “Propagation of optical spatial solitons in finite-size media: interplay between nonlocality and boundary conditions,” J. Opt. Soc. Am. B 24, 2314–2320 (2007).

[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).

[Crossref]
[PubMed]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, ““Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460–1462 (2002).

[Crossref]

M. Ablowitz, I. Bakirtaş, and B. Ilan, “Wave collapse in a class of nonlocal nonlinear Schrödinger equation,” Physica D 207, 230–253 (2005).

[Crossref]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).

[Crossref]

P. D. Rasmussen, O. Bang, and W. Krolikowski, “Theory of nonlocal soliton interaction in nematic liquid crystals,” Phys. Rev. E 72066611 (2005).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619, (2002).

[Crossref]

O. Bang, D. Edmundson, and W. Królikowski, “Collapse of incoherent light beams in inertial bulk Kerr media,” Phys. Rev. Lett. 83, 5479–5482 (1999).

[Crossref]

O. Bang, J. J. Rasmussen, and P. L. Christiansen, “Subcritical localization in the discrete nonlinear Schrödinger-equation with arbitrary power nonlinearity,” Nonlinearity 7, 205–218 (1994).

[Crossref]

L. Berge, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259–370, (1998).

[Crossref]

V. N Tsytovich and R Bingham, “Arrest of wave collapse and transitional damping,” Comments Plasma Phys. Controlled Fusion 14361–368 (1992).

J. C. Bronski and J. N. Kutz, “Numerical simulation of the semi-classical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 254, 325–336 (1999).

[Crossref]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

R. Camassa and D. D. Holm, “An integrable shallow water equation with peaked solitons,” Phys. Rev. Lett. 71, 1661–1664 (1993).

[Crossref]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482, (1964).

[Crossref]

O. Bang, J. J. Rasmussen, and P. L. Christiansen, “Subcritical localization in the discrete nonlinear Schrödinger-equation with arbitrary power nonlinearity,” Nonlinearity 7, 205–218 (1994).

[Crossref]

C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, “Incoherent spatial solitons in effectively instantaneous nonlinear media,” Nat. Photonics 2, 371–376 (2008).

[Crossref]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

C. Rotschild, O. Cohen, O. Manela, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett 95, 213904, (2005).

[Crossref]
[PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” PRL 99, 043903 (2007).

[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).

[Crossref]
[PubMed]

A. Fratalocchi, C. Conti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Thermodynamics of soliton gases: phase transitions and shock waves”.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Observation of a gradient catastrophe generating solitons”.

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[Crossref]
[PubMed]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

O. Bang, D. Edmundson, and W. Królikowski, “Collapse of incoherent light beams in inertial bulk Kerr media,” Phys. Rev. Lett. 83, 5479–5482 (1999).

[Crossref]

G. A. El and A. L. Krylov, “General-solution of the Cauchy-problem for the defocusing NLS equation in the Whitham limit,” Phys. Rev. A 203, 77–82 (1995).

K. D. Moll, A. L. Gaeta, and G. Fibich. “Self-similar optical wave collapse: observation of the Townes profile,” Phys. Rev. Lett. 90, 203902, (2003).

[Crossref]
[PubMed]

G. Fibich and G. Papanicolaou, “Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension,” SIAM J. Appl. Math. 60, 183–240, (1999).

[Crossref]

G. Fibich, “Small beam nonparaxiality arrests self-focusing of optical beams,” Phys. Rev. Lett. 76, 4356–4359, (1996).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[Crossref]
[PubMed]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).

[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).

[Crossref]
[PubMed]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

A. Fratalocchi, C. Conti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Thermodynamics of soliton gases: phase transitions and shock waves”.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Observation of a gradient catastrophe generating solitons”.

K. D. Moll, A. L. Gaeta, and G. Fibich. “Self-similar optical wave collapse: observation of the Townes profile,” Phys. Rev. Lett. 90, 203902, (2003).

[Crossref]
[PubMed]

J. J. Garcia-Ripoll, V. V. Konotop, B. Malomed, and V. M. Perez-Garcia, “A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates,” Math. And Comp. in Sim. 6221–30 (2003).

[Crossref]

V. M. Perez-Garcia, V. V. Konotop, and J. J. Garcia-Ripoll, “Dynamics of quasicollapse in nonlinear Schrödinger equation with nonlocal interactions,” Phys. Rev. E 62, 4300–4308 (2000).

[Crossref]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482, (1964).

[Crossref]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” PRL 99, 043903 (2007).

[Crossref]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

J. E. Rothenberg and D. Grischkowsky, “Observation of the formation of an optical intensity shock and wave breaking in the nonlinear propagation of pulses in optical fibres,” Phys. Rev. Lett. 94, 040403 (2005).

A. V. Gurevich and A. L. Krylov, “Nondissipative shock waves in media with positive dispersion,” Zh. Eksp. Teor. Fiz. 921684–1699 (1987).

R. Camassa and D. D. Holm, “An integrable shallow water equation with peaked solitons,” Phys. Rev. Lett. 71, 1661–1664 (1993).

[Crossref]
[PubMed]

M. Ablowitz, I. Bakirtaş, and B. Ilan, “Wave collapse in a class of nonlocal nonlinear Schrödinger equation,” Physica D 207, 230–253 (2005).

[Crossref]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).

[Crossref]

A. M. Kamchatnov, Nonlinear Periodic Waves and Their Modulations (World Scientific, Singapore2000).

[Crossref]

P. D. Miller and S. Kamvissis, “On the semiclassical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 247, 75–86 (1998).

[Crossref]

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

A. Minovich, D. N. Neshev, A. Dresichuh, W. Krolikowski, and Y. S. Kivshar, “Experimental reconstruction of nonlocal response of thermal nonlinear optical media,” Opt. Lett. 32, 1599–1601 (2007).

[Crossref]
[PubMed]

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).

[Crossref]

J. J. Garcia-Ripoll, V. V. Konotop, B. Malomed, and V. M. Perez-Garcia, “A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates,” Math. And Comp. in Sim. 6221–30 (2003).

[Crossref]

V. M. Perez-Garcia, V. V. Konotop, and J. J. Garcia-Ripoll, “Dynamics of quasicollapse in nonlinear Schrödinger equation with nonlocal interactions,” Phys. Rev. E 62, 4300–4308 (2000).

[Crossref]

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

A. Minovich, D. N. Neshev, A. Dresichuh, W. Krolikowski, and Y. S. Kivshar, “Experimental reconstruction of nonlocal response of thermal nonlinear optical media,” Opt. Lett. 32, 1599–1601 (2007).

[Crossref]
[PubMed]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).

[Crossref]

P. D. Rasmussen, O. Bang, and W. Krolikowski, “Theory of nonlocal soliton interaction in nematic liquid crystals,” Phys. Rev. E 72066611 (2005).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619, (2002).

[Crossref]

O. Bang, D. Edmundson, and W. Królikowski, “Collapse of incoherent light beams in inertial bulk Kerr media,” Phys. Rev. Lett. 83, 5479–5482 (1999).

[Crossref]

G. A. El and A. L. Krylov, “General-solution of the Cauchy-problem for the defocusing NLS equation in the Whitham limit,” Phys. Rev. A 203, 77–82 (1995).

A. V. Gurevich and A. L. Krylov, “Nondissipative shock waves in media with positive dispersion,” Zh. Eksp. Teor. Fiz. 921684–1699 (1987).

J. C. Bronski and J. N. Kutz, “Numerical simulation of the semi-classical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 254, 325–336 (1999).

[Crossref]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

A. G. Litvak and A. M. Sergeev, “One-dimensional collapse of plasma waves,” JETP Lett. 27, 517–520 (1978).

E. Madelung, “Quantetheorie in hydrodynamischer form’” Z. Phys. 40, 322–326 (1927).

[Crossref]

J. J. Garcia-Ripoll, V. V. Konotop, B. Malomed, and V. M. Perez-Garcia, “A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates,” Math. And Comp. in Sim. 6221–30 (2003).

[Crossref]

I. Kaminer, C. Rotschild, O. Manela, and M. Segev, “Periodic solitons in nonlocal nonlinear Media,” Opt. Lett. 32, 3209–3211, (2007).

[Crossref]
[PubMed]

C. Rotschild, O. Cohen, O. Manela, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett 95, 213904, (2005).

[Crossref]
[PubMed]

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

P. D. Miller and S. Kamvissis, “On the semiclassical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 247, 75–86 (1998).

[Crossref]

A. W. Snyder and D. J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).

[Crossref]

K. D. Moll, A. L. Gaeta, and G. Fibich. “Self-similar optical wave collapse: observation of the Townes profile,” Phys. Rev. Lett. 90, 203902, (2003).

[Crossref]
[PubMed]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

G. Fibich and G. Papanicolaou, “Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension,” SIAM J. Appl. Math. 60, 183–240, (1999).

[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).

[Crossref]
[PubMed]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, ““Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460–1462 (2002).

[Crossref]

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Observation of a gradient catastrophe generating solitons”.

J. J. Garcia-Ripoll, V. V. Konotop, B. Malomed, and V. M. Perez-Garcia, “A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates,” Math. And Comp. in Sim. 6221–30 (2003).

[Crossref]

V. M. Perez-Garcia, V. V. Konotop, and J. J. Garcia-Ripoll, “Dynamics of quasicollapse in nonlinear Schrödinger equation with nonlocal interactions,” Phys. Rev. E 62, 4300–4308 (2000).

[Crossref]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619, (2002).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

O. Bang, J. J. Rasmussen, and P. L. Christiansen, “Subcritical localization in the discrete nonlinear Schrödinger-equation with arbitrary power nonlinearity,” Nonlinearity 7, 205–218 (1994).

[Crossref]

P. D. Rasmussen, O. Bang, and W. Krolikowski, “Theory of nonlocal soliton interaction in nematic liquid crystals,” Phys. Rev. E 72066611 (2005).

[Crossref]

J. E. Rothenberg and D. Grischkowsky, “Observation of the formation of an optical intensity shock and wave breaking in the nonlinear propagation of pulses in optical fibres,” Phys. Rev. Lett. 94, 040403 (2005).

C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, “Incoherent spatial solitons in effectively instantaneous nonlinear media,” Nat. Photonics 2, 371–376 (2008).

[Crossref]

I. Kaminer, C. Rotschild, O. Manela, and M. Segev, “Periodic solitons in nonlocal nonlinear Media,” Opt. Lett. 32, 3209–3211, (2007).

[Crossref]
[PubMed]

C. Rotschild, O. Cohen, O. Manela, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett 95, 213904, (2005).

[Crossref]
[PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” PRL 99, 043903 (2007).

[Crossref]

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Observation of a gradient catastrophe generating solitons”.

A. Fratalocchi, C. Conti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Thermodynamics of soliton gases: phase transitions and shock waves”.

C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, “Incoherent spatial solitons in effectively instantaneous nonlinear media,” Nat. Photonics 2, 371–376 (2008).

[Crossref]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, “Incoherent spatial solitons in effectively instantaneous nonlinear media,” Nat. Photonics 2, 371–376 (2008).

[Crossref]

I. Kaminer, C. Rotschild, O. Manela, and M. Segev, “Periodic solitons in nonlocal nonlinear Media,” Opt. Lett. 32, 3209–3211, (2007).

[Crossref]
[PubMed]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

C. Rotschild, O. Cohen, O. Manela, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett 95, 213904, (2005).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[Crossref]
[PubMed]

A. G. Litvak and A. M. Sergeev, “One-dimensional collapse of plasma waves,” JETP Lett. 27, 517–520 (1978).

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).

[Crossref]

A. W. Snyder and D. J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).

[Crossref]

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

C. Sulem and P. L. Sulem., The nonlinear Schrodinger equation: self-focusing and wave collapse (Springer-Verlag, New York, 1999).

C. Sulem and P. L. Sulem., The nonlinear Schrodinger equation: self-focusing and wave collapse (Springer-Verlag, New York, 1999).

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482, (1964).

[Crossref]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” PRL 99, 043903 (2007).

[Crossref]

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Observation of a gradient catastrophe generating solitons”.

A. Fratalocchi, C. Conti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Thermodynamics of soliton gases: phase transitions and shock waves”.

V. N Tsytovich and R Bingham, “Arrest of wave collapse and transitional damping,” Comments Plasma Phys. Controlled Fusion 14361–368 (1992).

S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons,” Teor. Mat. Fiz. 64, 226–232, (1985).

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).

[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).

[Crossref]
[PubMed]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619, (2002).

[Crossref]

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).

[Crossref]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[Crossref]
[PubMed]

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).

[Crossref]

V. N Tsytovich and R Bingham, “Arrest of wave collapse and transitional damping,” Comments Plasma Phys. Controlled Fusion 14361–368 (1992).

S. A. Akhmanov, D. P. Krindach, A. V. Migulin, A. P. Sukhorukov, and R. V. Khokhlov, “Thermal self-action of laser beams,” IEEE J. Quantum Electron. QE-4, 568–575 (1968).

[Crossref]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, “Long-transient effects in lasers with inserted liquid samples,” J. Appl. Phys. 36, 3–8, (1965).

[Crossref]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, “MI, solitons and beam propagation in spatially nonlocal nonlinear media,” J. Opt. B: Quan. Semiclass. Opt. 6, S288–S294 (2004).

[Crossref]

A. G. Litvak and A. M. Sergeev, “One-dimensional collapse of plasma waves,” JETP Lett. 27, 517–520 (1978).

J. J. Garcia-Ripoll, V. V. Konotop, B. Malomed, and V. M. Perez-Garcia, “A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates,” Math. And Comp. in Sim. 6221–30 (2003).

[Crossref]

C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, “Incoherent spatial solitons in effectively instantaneous nonlinear media,” Nat. Photonics 2, 371–376 (2008).

[Crossref]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).

[Crossref]

O. Bang, J. J. Rasmussen, and P. L. Christiansen, “Subcritical localization in the discrete nonlinear Schrödinger-equation with arbitrary power nonlinearity,” Nonlinearity 7, 205–218 (1994).

[Crossref]

I. Kaminer, C. Rotschild, O. Manela, and M. Segev, “Periodic solitons in nonlocal nonlinear Media,” Opt. Lett. 32, 3209–3211, (2007).

[Crossref]
[PubMed]

A. Minovich, D. N. Neshev, A. Dresichuh, W. Krolikowski, and Y. S. Kivshar, “Experimental reconstruction of nonlocal response of thermal nonlinear optical media,” Opt. Lett. 32, 1599–1601 (2007).

[Crossref]
[PubMed]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, ““Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460–1462 (2002).

[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).

[Crossref]
[PubMed]

W. J. Tomlinson, R. H. Stolen, and A. M. Johnson, “Optical wave breaking of pulses in nonlinear optical fibers,” Opt. Lett. 10, 457–459 (1985).

[Crossref]
[PubMed]

P. D. Miller and S. Kamvissis, “On the semiclassical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 247, 75–86 (1998).

[Crossref]

J. C. Bronski and J. N. Kutz, “Numerical simulation of the semi-classical limit of the focusing nonlinear Schrodinger equation,” Phys. Lett. A 254, 325–336 (1999).

[Crossref]

L. Berge, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259–370, (1998).

[Crossref]

G. A. El and A. L. Krylov, “General-solution of the Cauchy-problem for the defocusing NLS equation in the Whitham limit,” Phys. Rev. A 203, 77–82 (1995).

V. M. Perez-Garcia, V. V. Konotop, and J. J. Garcia-Ripoll, “Dynamics of quasicollapse in nonlinear Schrödinger equation with nonlocal interactions,” Phys. Rev. E 62, 4300–4308 (2000).

[Crossref]

P. D. Rasmussen, O. Bang, and W. Krolikowski, “Theory of nonlocal soliton interaction in nematic liquid crystals,” Phys. Rev. E 72066611 (2005).

[Crossref]

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).

[Crossref]

O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, “Incoherent solitons in instantaneous nonlocal nonlinear media,” Phys. Rev. E 73, 015601 (2006).

[Crossref]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).

[Crossref]

O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619, (2002).

[Crossref]

C. Rotschild, O. Cohen, O. Manela, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett 95, 213904, (2005).

[Crossref]
[PubMed]

O. Bang, D. Edmundson, and W. Królikowski, “Collapse of incoherent light beams in inertial bulk Kerr media,” Phys. Rev. Lett. 83, 5479–5482 (1999).

[Crossref]

G. Fibich, “Small beam nonparaxiality arrests self-focusing of optical beams,” Phys. Rev. Lett. 76, 4356–4359, (1996).

[Crossref]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482, (1964).

[Crossref]

K. D. Moll, A. L. Gaeta, and G. Fibich. “Self-similar optical wave collapse: observation of the Townes profile,” Phys. Rev. Lett. 90, 203902, (2003).

[Crossref]
[PubMed]

R. Camassa and D. D. Holm, “An integrable shallow water equation with peaked solitons,” Phys. Rev. Lett. 71, 1661–1664 (1993).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[Crossref]
[PubMed]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).

[Crossref]
[PubMed]

J. E. Rothenberg and D. Grischkowsky, “Observation of the formation of an optical intensity shock and wave breaking in the nonlinear propagation of pulses in optical fibres,” Phys. Rev. Lett. 94, 040403 (2005).

M. Ablowitz, I. Bakirtaş, and B. Ilan, “Wave collapse in a class of nonlocal nonlinear Schrödinger equation,” Physica D 207, 230–253 (2005).

[Crossref]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” PRL 99, 043903 (2007).

[Crossref]

A. W. Snyder and D. J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).

[Crossref]

G. Fibich and G. Papanicolaou, “Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension,” SIAM J. Appl. Math. 60, 183–240, (1999).

[Crossref]

S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons,” Teor. Mat. Fiz. 64, 226–232, (1985).

E. Madelung, “Quantetheorie in hydrodynamischer form’” Z. Phys. 40, 322–326 (1927).

[Crossref]

A. V. Gurevich and A. L. Krylov, “Nondissipative shock waves in media with positive dispersion,” Zh. Eksp. Teor. Fiz. 921684–1699 (1987).

A. Fratalocchi, C. Conti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Thermodynamics of soliton gases: phase transitions and shock waves”.

A. M. Kamchatnov, Nonlinear Periodic Waves and Their Modulations (World Scientific, Singapore2000).

[Crossref]

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo are preparing a manuscript to be called “Observation of a gradient catastrophe generating solitons”.

C. Sulem and P. L. Sulem., The nonlinear Schrodinger equation: self-focusing and wave collapse (Springer-Verlag, New York, 1999).