S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Propagation of cnoidal waves in a medium with a saturable nonlinear response,” Quantum Electron. 31, 257–262 (2001).

[CrossRef]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. A. Basurto-Pensado, “Self-compression of 1+1D cnoidal wave in photorefractive BTO crystal: an experimental evidence,” Opt. Commun. 197, 209–215 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Self-frequency shift of cnoidal waves in a medium with delayed nonlinear response,” J. Opt. Soc. Am. B 18, 1127–1136 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “On the possibility of suppression of the self-frequency shift of the cnoidal waves in the medium with delayed nonlinear response by bandwidth-limited amplification,” Opt. Commun. 190, 373–383 (2001).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Stimulated Raman scattering of cnoidal waves,” Quantum Electron. 31, 327–332 (2001).

[CrossRef]

L. D. Carr, J. N. Kutz, W. P. Reinhardt, “Stability of stationary states in the cubic nonlinear Schrödinger equation: applications to the Bose–Einstein condensate,” Phys. Rev. E 63, 066604 (2001).

[CrossRef]

L. Berge, T. J. Alexander, and Y. S. Kivshar, “Stability criterion for attractive Bose–Einstein condensates,” Phys. Rev. A 62, 023607 (2000).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Cnoidal waves compression by means of multisoliton effect,” Opt. Commun. 185, 305–314 (2000).

[CrossRef]

Yu. S. Kivshar and D. E. Pelinovsky, “Self-focusing and transverse instabilities of solitary waves,” Phys. Rep. 331, 117–195 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity,” Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity,” Phys. Rev. A 62, 063611 (2000).

[CrossRef]

V. Aleshkevich, V. Vysloukh, and Y. Kartashov, “Self-bending of cnoidal waves in photorefractive medium with drift and diffusion nonlinearity,” Opt. Commun. 173, 277–284 (2000).

[CrossRef]

A. Ankiewicz, W. Krolikowski, and N. N. Akhmediev, “Partially coherent solitons of variable shape in a slow Kerr-like medium: exact solutions,” Phys. Rev. E 59, 6079–6087 (1999).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations,” Phys. Rev. E 60, 1019–1029 (1999).

[CrossRef]

V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, “Multicomponent photorefractive cnoidal waves: stability, localization, and soliton asymptotics,” Phys. Rev. E 60, 1–10 (1999).

[CrossRef]

F. T. Hioe, “Solitary waves for N coupled nonlinear Schrödinger equations,” Phys. Rev. Lett. 82, 1152–1155 (1999).

[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Modulational instability of a strip beam in a bulk type I quadratic medium,” Opt. Lett. 23, 31–33 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Modulational instability of solitary waves in nondegenerate three-wave mixing: the role of phase symmetries,” Phys. Rev. Lett. 81, 3379–3382 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Generation and stability of optical bullets in quadratic nonlinear media,” Opt. Commun. 148, 79–84 (1998).

[CrossRef]

Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications—the inverse scattering transform,” Phys. Rep. 298, 81–197 (1998).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19–21 (1997).

[CrossRef]
[PubMed]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Snake instability of one-dimensional parametric spatial solitons,” Opt. Lett. 22, 868–870 (1997).

[CrossRef]
[PubMed]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Symmetry-breaking instabilities of parametric spatial solitons,” Phys. Rev. E 56, R4959–R4962 (1997).

[CrossRef]

C. Josserand and S. Rica, “Coalescence and droplets in the subcritical nonlinear Schrödinger equation,” Phys. Rev. Lett. 78, 1215–1218 (1997).

[CrossRef]

E. Infeld and T. Lenkowska-Czerwinska, “Analysis of stability of light beams in nonlinear photorefractive media,” Phys. Rev. E 55, 6101–6106 (1997).

[CrossRef]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Propagation of dark stripe beam in nonlinear media: snake instability and creation of optical vortices,” Phys. Rev. Lett. 76, 2262–2265 (1996).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence,” Phys. Rev. A 54, 870–879 (1996).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christou, B. Luther-Davies, and Yu. S. Kivshar, “Observation of vortex solitons created by the instability of dark soliton stripes,” Opt. Lett. 21, 1129–1131 (1996).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium,” J. Opt. Soc. Am. B 12, 2046–2052 (1995).

[CrossRef]

E. M. Wright, B. L. Lawrence, W. Torruellas, and G. Stegeman, “Stable self-trapping and ring formation in polydiacetylene para-toluene sulfonate,” Opt. Lett. 20, 2481–2483 (1995).

[CrossRef]

D. E. Pelinovsky, Yu. A. Stepanyants, and Yu. S. Kivshar, “Self-focusing of plane dark solitons in nonlinear defocusing media,” Phys. Rev. E 51, 5016–5026 (1995).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Solitons due to second harmonic generation,” Phys. Lett. A 197, 407–412 (1995).

[CrossRef]

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

K. Rypdal and J. J. Rasmussen, “Stability of solitary structures in the nonlinear Schrödinger equation,” Phys. Scr. 40, 192–201 (1989).

[CrossRef]

E. A. Kuznetsov and S. K. Turitsyn, “Instability and collapse of solitons in media with a defocusing nonlinearity,” Sov. Phys. JETP 67, 1583–1588 (1988).

V. P. Kudashev and A. B. Mikhailovsky, “Instability of periodic waves described by the nonlinear Schrödinger equation,” Sov. Phys. JETP 63, 972–979 (1986).

E. A. Kuznetsov, S. L. Musher, and A. V. Shafarenko, “Collapse of acoustic waves in media with positive dispersion,” JETP Lett. 37, 241–245 (1983).

E. Infeld, “Self-focusing of waves on the surface of deep water,” JETP Lett. 32, 87–89 (1980).

V. P. Pavlenko and V. I. Petviashvili, “Stability and kinetic effects of a standing Langmuir wave,” JETP Lett. 26, 200–202 (1977).

L. M. Degtyarev, V. E. Zakharov, and L. I. Rudakov, “Two examples of Langmuir wave collapse,” Sov. Phys. JETP 41, 57–61 (1975).

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, G. G. Luther, and A. M. Rubenchik, “Modulational instability of continuous waves and one-dimensional temporal solitons in fiber arrays,” Opt. Lett. 19, 1186–1188 (1994).

[CrossRef]
[PubMed]

A. Ankiewicz, W. Krolikowski, and N. N. Akhmediev, “Partially coherent solitons of variable shape in a slow Kerr-like medium: exact solutions,” Phys. Rev. E 59, 6079–6087 (1999).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Self-frequency shift of cnoidal waves in a medium with delayed nonlinear response,” J. Opt. Soc. Am. B 18, 1127–1136 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “On the possibility of suppression of the self-frequency shift of the cnoidal waves in the medium with delayed nonlinear response by bandwidth-limited amplification,” Opt. Commun. 190, 373–383 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Cnoidal waves compression by means of multisoliton effect,” Opt. Commun. 185, 305–314 (2000).

[CrossRef]

V. Aleshkevich, V. Vysloukh, and Y. Kartashov, “Self-bending of cnoidal waves in photorefractive medium with drift and diffusion nonlinearity,” Opt. Commun. 173, 277–284 (2000).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Propagation of cnoidal waves in a medium with a saturable nonlinear response,” Quantum Electron. 31, 257–262 (2001).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Stimulated Raman scattering of cnoidal waves,” Quantum Electron. 31, 327–332 (2001).

[CrossRef]

L. Berge, T. J. Alexander, and Y. S. Kivshar, “Stability criterion for attractive Bose–Einstein condensates,” Phys. Rev. A 62, 023607 (2000).

[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence,” Phys. Rev. A 54, 870–879 (1996).

[CrossRef]
[PubMed]

A. Ankiewicz, W. Krolikowski, and N. N. Akhmediev, “Partially coherent solitons of variable shape in a slow Kerr-like medium: exact solutions,” Phys. Rev. E 59, 6079–6087 (1999).

[CrossRef]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. A. Basurto-Pensado, “Self-compression of 1+1D cnoidal wave in photorefractive BTO crystal: an experimental evidence,” Opt. Commun. 197, 209–215 (2001).

[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Modulational instability of a strip beam in a bulk type I quadratic medium,” Opt. Lett. 23, 31–33 (1998).

[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. A. Basurto-Pensado, “Self-compression of 1+1D cnoidal wave in photorefractive BTO crystal: an experimental evidence,” Opt. Commun. 197, 209–215 (2001).

[CrossRef]

L. Berge, T. J. Alexander, and Y. S. Kivshar, “Stability criterion for attractive Bose–Einstein condensates,” Phys. Rev. A 62, 023607 (2000).

[CrossRef]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Snake instability of one-dimensional parametric spatial solitons,” Opt. Lett. 22, 868–870 (1997).

[CrossRef]
[PubMed]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Symmetry-breaking instabilities of parametric spatial solitons,” Phys. Rev. E 56, R4959–R4962 (1997).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Solitons due to second harmonic generation,” Phys. Lett. A 197, 407–412 (1995).

[CrossRef]

L. D. Carr, J. N. Kutz, W. P. Reinhardt, “Stability of stationary states in the cubic nonlinear Schrödinger equation: applications to the Bose–Einstein condensate,” Phys. Rev. E 63, 066604 (2001).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity,” Phys. Rev. A 62, 063611 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity,” Phys. Rev. A 62, 063610 (2000).

[CrossRef]

V. Tikhonenko, J. Christou, B. Luther-Davies, and Yu. S. Kivshar, “Observation of vortex solitons created by the instability of dark soliton stripes,” Opt. Lett. 21, 1129–1131 (1996).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium,” J. Opt. Soc. Am. B 12, 2046–2052 (1995).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity,” Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity,” Phys. Rev. A 62, 063611 (2000).

[CrossRef]

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, G. G. Luther, and A. M. Rubenchik, “Modulational instability of continuous waves and one-dimensional temporal solitons in fiber arrays,” Opt. Lett. 19, 1186–1188 (1994).

[CrossRef]
[PubMed]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Symmetry-breaking instabilities of parametric spatial solitons,” Phys. Rev. E 56, R4959–R4962 (1997).

[CrossRef]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Snake instability of one-dimensional parametric spatial solitons,” Opt. Lett. 22, 868–870 (1997).

[CrossRef]
[PubMed]

L. M. Degtyarev, V. E. Zakharov, and L. I. Rudakov, “Two examples of Langmuir wave collapse,” Sov. Phys. JETP 41, 57–61 (1975).

D. V. Skryabin and W. J. Firth, “Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations,” Phys. Rev. E 60, 1019–1029 (1999).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Generation and stability of optical bullets in quadratic nonlinear media,” Opt. Commun. 148, 79–84 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Modulational instability of solitary waves in nondegenerate three-wave mixing: the role of phase symmetries,” Phys. Rev. Lett. 81, 3379–3382 (1998).

[CrossRef]

G. S. McDonald, K. S. Syed, and W. J. Firth, “Dark spatial soliton break-up in the transverse plane,” Opt. Commun. 95, 281–288 (1993).

[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19–21 (1997).

[CrossRef]
[PubMed]

F. T. Hioe, “Solitary waves for N coupled nonlinear Schrödinger equations,” Phys. Rev. Lett. 82, 1152–1155 (1999).

[CrossRef]

E. Infeld and T. Lenkowska-Czerwinska, “Analysis of stability of light beams in nonlinear photorefractive media,” Phys. Rev. E 55, 6101–6106 (1997).

[CrossRef]

E. Infeld, “Self-focusing of waves on the surface of deep water,” JETP Lett. 32, 87–89 (1980).

C. Josserand and S. Rica, “Coalescence and droplets in the subcritical nonlinear Schrödinger equation,” Phys. Rev. Lett. 78, 1215–1218 (1997).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “On the possibility of suppression of the self-frequency shift of the cnoidal waves in the medium with delayed nonlinear response by bandwidth-limited amplification,” Opt. Commun. 190, 373–383 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Self-frequency shift of cnoidal waves in a medium with delayed nonlinear response,” J. Opt. Soc. Am. B 18, 1127–1136 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Cnoidal waves compression by means of multisoliton effect,” Opt. Commun. 185, 305–314 (2000).

[CrossRef]

V. Aleshkevich, V. Vysloukh, and Y. Kartashov, “Self-bending of cnoidal waves in photorefractive medium with drift and diffusion nonlinearity,” Opt. Commun. 173, 277–284 (2000).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Propagation of cnoidal waves in a medium with a saturable nonlinear response,” Quantum Electron. 31, 257–262 (2001).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Stimulated Raman scattering of cnoidal waves,” Quantum Electron. 31, 327–332 (2001).

[CrossRef]

L. Berge, T. J. Alexander, and Y. S. Kivshar, “Stability criterion for attractive Bose–Einstein condensates,” Phys. Rev. A 62, 023607 (2000).

[CrossRef]

Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications—the inverse scattering transform,” Phys. Rep. 298, 81–197 (1998).

[CrossRef]

Yu. S. Kivshar and D. E. Pelinovsky, “Self-focusing and transverse instabilities of solitary waves,” Phys. Rep. 331, 117–195 (2000).

[CrossRef]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Snake instability of one-dimensional parametric spatial solitons,” Opt. Lett. 22, 868–870 (1997).

[CrossRef]
[PubMed]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Symmetry-breaking instabilities of parametric spatial solitons,” Phys. Rev. E 56, R4959–R4962 (1997).

[CrossRef]

V. Tikhonenko, J. Christou, B. Luther-Davies, and Yu. S. Kivshar, “Observation of vortex solitons created by the instability of dark soliton stripes,” Opt. Lett. 21, 1129–1131 (1996).

[CrossRef]
[PubMed]

D. E. Pelinovsky, Yu. A. Stepanyants, and Yu. S. Kivshar, “Self-focusing of plane dark solitons in nonlinear defocusing media,” Phys. Rev. E 51, 5016–5026 (1995).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Solitons due to second harmonic generation,” Phys. Lett. A 197, 407–412 (1995).

[CrossRef]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. A. Basurto-Pensado, “Self-compression of 1+1D cnoidal wave in photorefractive BTO crystal: an experimental evidence,” Opt. Commun. 197, 209–215 (2001).

[CrossRef]

A. Ankiewicz, W. Krolikowski, and N. N. Akhmediev, “Partially coherent solitons of variable shape in a slow Kerr-like medium: exact solutions,” Phys. Rev. E 59, 6079–6087 (1999).

[CrossRef]

V. P. Kudashev and A. B. Mikhailovsky, “Instability of periodic waves described by the nonlinear Schrödinger equation,” Sov. Phys. JETP 63, 972–979 (1986).

L. D. Carr, J. N. Kutz, W. P. Reinhardt, “Stability of stationary states in the cubic nonlinear Schrödinger equation: applications to the Bose–Einstein condensate,” Phys. Rev. E 63, 066604 (2001).

[CrossRef]

E. A. Kuznetsov and S. K. Turitsyn, “Instability and collapse of solitons in media with a defocusing nonlinearity,” Sov. Phys. JETP 67, 1583–1588 (1988).

E. A. Kuznetsov, S. L. Musher, and A. V. Shafarenko, “Collapse of acoustic waves in media with positive dispersion,” JETP Lett. 37, 241–245 (1983).

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19–21 (1997).

[CrossRef]
[PubMed]

E. M. Wright, B. L. Lawrence, W. Torruellas, and G. Stegeman, “Stable self-trapping and ring formation in polydiacetylene para-toluene sulfonate,” Opt. Lett. 20, 2481–2483 (1995).

[CrossRef]

E. Infeld and T. Lenkowska-Czerwinska, “Analysis of stability of light beams in nonlinear photorefractive media,” Phys. Rev. E 55, 6101–6106 (1997).

[CrossRef]

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, G. G. Luther, and A. M. Rubenchik, “Modulational instability of continuous waves and one-dimensional temporal solitons in fiber arrays,” Opt. Lett. 19, 1186–1188 (1994).

[CrossRef]
[PubMed]

Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications—the inverse scattering transform,” Phys. Rep. 298, 81–197 (1998).

[CrossRef]

V. Tikhonenko, J. Christou, B. Luther-Davies, and Yu. S. Kivshar, “Observation of vortex solitons created by the instability of dark soliton stripes,” Opt. Lett. 21, 1129–1131 (1996).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium,” J. Opt. Soc. Am. B 12, 2046–2052 (1995).

[CrossRef]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Propagation of dark stripe beam in nonlinear media: snake instability and creation of optical vortices,” Phys. Rev. Lett. 76, 2262–2265 (1996).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence,” Phys. Rev. A 54, 870–879 (1996).

[CrossRef]
[PubMed]

G. S. McDonald, K. S. Syed, and W. J. Firth, “Dark spatial soliton break-up in the transverse plane,” Opt. Commun. 95, 281–288 (1993).

[CrossRef]

V. P. Kudashev and A. B. Mikhailovsky, “Instability of periodic waves described by the nonlinear Schrödinger equation,” Sov. Phys. JETP 63, 972–979 (1986).

E. A. Kuznetsov, S. L. Musher, and A. V. Shafarenko, “Collapse of acoustic waves in media with positive dispersion,” JETP Lett. 37, 241–245 (1983).

V. P. Pavlenko and V. I. Petviashvili, “Stability and kinetic effects of a standing Langmuir wave,” JETP Lett. 26, 200–202 (1977).

Yu. S. Kivshar and D. E. Pelinovsky, “Self-focusing and transverse instabilities of solitary waves,” Phys. Rep. 331, 117–195 (2000).

[CrossRef]

D. E. Pelinovsky, Yu. A. Stepanyants, and Yu. S. Kivshar, “Self-focusing of plane dark solitons in nonlinear defocusing media,” Phys. Rev. E 51, 5016–5026 (1995).

[CrossRef]

V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, “Multicomponent photorefractive cnoidal waves: stability, localization, and soliton asymptotics,” Phys. Rev. E 60, 1–10 (1999).

[CrossRef]

V. P. Pavlenko and V. I. Petviashvili, “Stability and kinetic effects of a standing Langmuir wave,” JETP Lett. 26, 200–202 (1977).

K. Rypdal and J. J. Rasmussen, “Stability of solitary structures in the nonlinear Schrödinger equation,” Phys. Scr. 40, 192–201 (1989).

[CrossRef]

L. D. Carr, J. N. Kutz, W. P. Reinhardt, “Stability of stationary states in the cubic nonlinear Schrödinger equation: applications to the Bose–Einstein condensate,” Phys. Rev. E 63, 066604 (2001).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity,” Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, “Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity,” Phys. Rev. A 62, 063611 (2000).

[CrossRef]

C. Josserand and S. Rica, “Coalescence and droplets in the subcritical nonlinear Schrödinger equation,” Phys. Rev. Lett. 78, 1215–1218 (1997).

[CrossRef]

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, G. G. Luther, and A. M. Rubenchik, “Modulational instability of continuous waves and one-dimensional temporal solitons in fiber arrays,” Opt. Lett. 19, 1186–1188 (1994).

[CrossRef]
[PubMed]

L. M. Degtyarev, V. E. Zakharov, and L. I. Rudakov, “Two examples of Langmuir wave collapse,” Sov. Phys. JETP 41, 57–61 (1975).

K. Rypdal and J. J. Rasmussen, “Stability of solitary structures in the nonlinear Schrödinger equation,” Phys. Scr. 40, 192–201 (1989).

[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence,” Phys. Rev. A 54, 870–879 (1996).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Propagation of dark stripe beam in nonlinear media: snake instability and creation of optical vortices,” Phys. Rev. Lett. 76, 2262–2265 (1996).

[CrossRef]
[PubMed]

E. A. Kuznetsov, S. L. Musher, and A. V. Shafarenko, “Collapse of acoustic waves in media with positive dispersion,” JETP Lett. 37, 241–245 (1983).

V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, “Multicomponent photorefractive cnoidal waves: stability, localization, and soliton asymptotics,” Phys. Rev. E 60, 1–10 (1999).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations,” Phys. Rev. E 60, 1019–1029 (1999).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Generation and stability of optical bullets in quadratic nonlinear media,” Opt. Commun. 148, 79–84 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Modulational instability of solitary waves in nondegenerate three-wave mixing: the role of phase symmetries,” Phys. Rev. Lett. 81, 3379–3382 (1998).

[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Modulational instability of a strip beam in a bulk type I quadratic medium,” Opt. Lett. 23, 31–33 (1998).

[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19–21 (1997).

[CrossRef]
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[CrossRef]

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[CrossRef]

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[CrossRef]
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S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

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S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19–21 (1997).

[CrossRef]
[PubMed]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Snake instability of one-dimensional parametric spatial solitons,” Opt. Lett. 22, 868–870 (1997).

[CrossRef]
[PubMed]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Symmetry-breaking instabilities of parametric spatial solitons,” Phys. Rev. E 56, R4959–R4962 (1997).

[CrossRef]

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

E. A. Kuznetsov and S. K. Turitsyn, “Instability and collapse of solitons in media with a defocusing nonlinearity,” Sov. Phys. JETP 67, 1583–1588 (1988).

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[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “On the possibility of suppression of the self-frequency shift of the cnoidal waves in the medium with delayed nonlinear response by bandwidth-limited amplification,” Opt. Commun. 190, 373–383 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Cnoidal waves compression by means of multisoliton effect,” Opt. Commun. 185, 305–314 (2000).

[CrossRef]

V. Aleshkevich, V. Vysloukh, and Y. Kartashov, “Self-bending of cnoidal waves in photorefractive medium with drift and diffusion nonlinearity,” Opt. Commun. 173, 277–284 (2000).

[CrossRef]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. A. Basurto-Pensado, “Self-compression of 1+1D cnoidal wave in photorefractive BTO crystal: an experimental evidence,” Opt. Commun. 197, 209–215 (2001).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Propagation of cnoidal waves in a medium with a saturable nonlinear response,” Quantum Electron. 31, 257–262 (2001).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Stimulated Raman scattering of cnoidal waves,” Quantum Electron. 31, 327–332 (2001).

[CrossRef]

V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, “Multicomponent photorefractive cnoidal waves: stability, localization, and soliton asymptotics,” Phys. Rev. E 60, 1–10 (1999).

[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

L. M. Degtyarev, V. E. Zakharov, and L. I. Rudakov, “Two examples of Langmuir wave collapse,” Sov. Phys. JETP 41, 57–61 (1975).

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Propagation of dark stripe beam in nonlinear media: snake instability and creation of optical vortices,” Phys. Rev. Lett. 76, 2262–2265 (1996).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence,” Phys. Rev. A 54, 870–879 (1996).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium,” J. Opt. Soc. Am. B 12, 2046–2052 (1995).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Self-frequency shift of cnoidal waves in a medium with delayed nonlinear response,” J. Opt. Soc. Am. B 18, 1127–1136 (2001).

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G. S. McDonald, K. S. Syed, and W. J. Firth, “Dark spatial soliton break-up in the transverse plane,” Opt. Commun. 95, 281–288 (1993).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Generation and stability of optical bullets in quadratic nonlinear media,” Opt. Commun. 148, 79–84 (1998).

[CrossRef]

V. Aleshkevich, V. Vysloukh, and Y. Kartashov, “Self-bending of cnoidal waves in photorefractive medium with drift and diffusion nonlinearity,” Opt. Commun. 173, 277–284 (2000).

[CrossRef]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. A. Basurto-Pensado, “Self-compression of 1+1D cnoidal wave in photorefractive BTO crystal: an experimental evidence,” Opt. Commun. 197, 209–215 (2001).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “Cnoidal waves compression by means of multisoliton effect,” Opt. Commun. 185, 305–314 (2000).

[CrossRef]

V. Aleshkevich, Y. Kartashov, and V. Vysloukh, “On the possibility of suppression of the self-frequency shift of the cnoidal waves in the medium with delayed nonlinear response by bandwidth-limited amplification,” Opt. Commun. 190, 373–383 (2001).

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[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Modulational instability of a strip beam in a bulk type I quadratic medium,” Opt. Lett. 23, 31–33 (1998).

[CrossRef]

A. B. Aceves, C. De Angelis, G. G. Luther, and A. M. Rubenchik, “Modulational instability of continuous waves and one-dimensional temporal solitons in fiber arrays,” Opt. Lett. 19, 1186–1188 (1994).

[CrossRef]
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[CrossRef]
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[CrossRef]
[PubMed]

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[CrossRef]
[PubMed]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

V. Tikhonenko, J. Christou, B. Luther-Davies, and Yu. S. Kivshar, “Observation of vortex solitons created by the instability of dark soliton stripes,” Opt. Lett. 21, 1129–1131 (1996).

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A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence,” Phys. Rev. A 54, 870–879 (1996).

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V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, “Multicomponent photorefractive cnoidal waves: stability, localization, and soliton asymptotics,” Phys. Rev. E 60, 1–10 (1999).

[CrossRef]

E. Infeld and T. Lenkowska-Czerwinska, “Analysis of stability of light beams in nonlinear photorefractive media,” Phys. Rev. E 55, 6101–6106 (1997).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations,” Phys. Rev. E 60, 1019–1029 (1999).

[CrossRef]

A. De Rossi, S. Trillo, A. V. Buryak, and Yu. S. Kivshar, “Symmetry-breaking instabilities of parametric spatial solitons,” Phys. Rev. E 56, R4959–R4962 (1997).

[CrossRef]

D. E. Pelinovsky, Yu. A. Stepanyants, and Yu. S. Kivshar, “Self-focusing of plane dark solitons in nonlinear defocusing media,” Phys. Rev. E 51, 5016–5026 (1995).

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A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Propagation of dark stripe beam in nonlinear media: snake instability and creation of optical vortices,” Phys. Rev. Lett. 76, 2262–2265 (1996).

[CrossRef]
[PubMed]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulation instability and multisolitonlike generation in a quadratically nonlinear optical media,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

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[CrossRef]

C. Josserand and S. Rica, “Coalescence and droplets in the subcritical nonlinear Schrödinger equation,” Phys. Rev. Lett. 78, 1215–1218 (1997).

[CrossRef]

A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, “Energy localization in nonlinear fiber arrays: collapse-effect compressor,” Phys. Rev. Lett. 75, 73–76 (1995).

[CrossRef]
[PubMed]

D. V. Skryabin and W. J. Firth, “Modulational instability of solitary waves in nondegenerate three-wave mixing: the role of phase symmetries,” Phys. Rev. Lett. 81, 3379–3382 (1998).

[CrossRef]

K. Rypdal and J. J. Rasmussen, “Stability of solitary structures in the nonlinear Schrödinger equation,” Phys. Scr. 40, 192–201 (1989).

[CrossRef]

V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, “Propagation of cnoidal waves in a medium with a saturable nonlinear response,” Quantum Electron. 31, 257–262 (2001).

[CrossRef]

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