K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

M. L. Quiroga-Teixeiro and H. Michinel, “Stable azimuthal stationary state in quintic nonlinear optical media,” J. Opt. Soc. Am. B 14, 2004–2009 (1997).

[CrossRef]

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

[CrossRef]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, “Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium,” Phys. Rev. A 45, 3168–3175 (1992).

[CrossRef]
[PubMed]

M. Karlsson, “Optical beams in saturable self-focusing media,” Phys. Rev. A 46, 2726 (1992).

[CrossRef]
[PubMed]

J. P. Gordon, “Dispersive perturbations of solitons of the nonlinear Schrödinger equation,” J. Opt. Soc. Am. B 9, 91–104 (1992).

[CrossRef]

J. M. Soto-Crespo, D. R. Heartley, E. M. Wright, and N. N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).

[CrossRef]
[PubMed]

H. H. Kuehl and C. Y. Zhang, “Effects of higher-order dispersion on envelope solitons,” Phys. Fluids B 2, 889–900 (1990).

[CrossRef]

V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, “Soliton turbulence,” JETP Lett. 48, 82–87 (1988).

V. I. Kruglov and R. A. Vlasov, “Spiral self-trapping propagation of optical beams in media with cubic nonlinearity,” Phys. Lett. A 111, 401–404 (1985).

[CrossRef]

D. Anderson, M. Bonnedal, and M. Lisak, “Nonlinear propagation of elliptically shaped Gaussian laser beams,” J. Plasma Phys. 23, 115–127 (1980).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Interaction of two-space-dimensional classical Q solitons,” Phys. Lett. A 70, 171–176 (1979).

[CrossRef]

V. G. Makhankov, “Computer and solitons,” Phys. Scr. 20, 558–562 (1979).

[CrossRef]

K. Konno and H. Suzuki, “Self-focusing of laser beam in nonlinear media,” Phys. Scr. 20, 382–386 (1979).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Many dimensional U(1) solitons, their interactions, resonances and bound states,” Phys. Scr. 20, 454–461 (1979).

[CrossRef]

J. Oficjalski and I. Bialynicki-Birula, “Collisions of gaussons,” Acta Phys. Pol. B 9, 759–775 (1978).

A. H. Piekara, J. S. Moore, and M. S. Feld, “Analysis of self-trapping using the wave equation with high-order nonlinear electric permittivity,” Phys. Rev. A 9, 1403–1407 (1974).

[CrossRef]

W. G. Wagner, H. A. Haus, and J. H. Marburger, “Large-scale self-trapping of optical beams in the paraxial ray approximation,” Phys. Rev. 175, 256–266 (1968).

[CrossRef]

J. H. Marburger and E. Dawes, “Dynamical formation of a small-scale filament,” Phys. Rev. Lett. 21, 556–558 (1968).

[CrossRef]

H. A. Haus, “Higher order trapped light beam solutions,” Appl. Phys. Lett. 8, 128–129 (1966).

[CrossRef]

J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, “Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium,” Phys. Rev. A 45, 3168–3175 (1992).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, D. R. Heartley, E. M. Wright, and N. N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).

[CrossRef]
[PubMed]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

D. Anderson, M. Bonnedal, and M. Lisak, “Nonlinear propagation of elliptically shaped Gaussian laser beams,” J. Plasma Phys. 23, 115–127 (1980).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

J. Oficjalski and I. Bialynicki-Birula, “Collisions of gaussons,” Acta Phys. Pol. B 9, 759–775 (1978).

D. Anderson, M. Bonnedal, and M. Lisak, “Nonlinear propagation of elliptically shaped Gaussian laser beams,” J. Plasma Phys. 23, 115–127 (1980).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

J. H. Marburger and E. Dawes, “Dynamical formation of a small-scale filament,” Phys. Rev. Lett. 21, 556–558 (1968).

[CrossRef]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

A. H. Piekara, J. S. Moore, and M. S. Feld, “Analysis of self-trapping using the wave equation with high-order nonlinear electric permittivity,” Phys. Rev. A 9, 1403–1407 (1974).

[CrossRef]

W. G. Wagner, H. A. Haus, and J. H. Marburger, “Large-scale self-trapping of optical beams in the paraxial ray approximation,” Phys. Rev. 175, 256–266 (1968).

[CrossRef]

H. A. Haus, “Higher order trapped light beam solutions,” Appl. Phys. Lett. 8, 128–129 (1966).

[CrossRef]

J. M. Soto-Crespo, D. R. Heartley, E. M. Wright, and N. N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).

[CrossRef]
[PubMed]

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

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

M. Karlsson, “Optical beams in saturable self-focusing media,” Phys. Rev. A 46, 2726 (1992).

[CrossRef]
[PubMed]

K. Konno and H. Suzuki, “Self-focusing of laser beam in nonlinear media,” Phys. Scr. 20, 382–386 (1979).

[CrossRef]

V. I. Kruglov and R. A. Vlasov, “Spiral self-trapping propagation of optical beams in media with cubic nonlinearity,” Phys. Lett. A 111, 401–404 (1985).

[CrossRef]

H. H. Kuehl and C. Y. Zhang, “Effects of higher-order dispersion on envelope solitons,” Phys. Fluids B 2, 889–900 (1990).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Many dimensional U(1) solitons, their interactions, resonances and bound states,” Phys. Scr. 20, 454–461 (1979).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Interaction of two-space-dimensional classical Q solitons,” Phys. Lett. A 70, 171–176 (1979).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

D. Anderson, M. Bonnedal, and M. Lisak, “Nonlinear propagation of elliptically shaped Gaussian laser beams,” J. Plasma Phys. 23, 115–127 (1980).

[CrossRef]

V. G. Makhankov, “Computer and solitons,” Phys. Scr. 20, 558–562 (1979).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Many dimensional U(1) solitons, their interactions, resonances and bound states,” Phys. Scr. 20, 454–461 (1979).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Interaction of two-space-dimensional classical Q solitons,” Phys. Lett. A 70, 171–176 (1979).

[CrossRef]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

W. G. Wagner, H. A. Haus, and J. H. Marburger, “Large-scale self-trapping of optical beams in the paraxial ray approximation,” Phys. Rev. 175, 256–266 (1968).

[CrossRef]

J. H. Marburger and E. Dawes, “Dynamical formation of a small-scale filament,” Phys. Rev. Lett. 21, 556–558 (1968).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

A. H. Piekara, J. S. Moore, and M. S. Feld, “Analysis of self-trapping using the wave equation with high-order nonlinear electric permittivity,” Phys. Rev. A 9, 1403–1407 (1974).

[CrossRef]

J. Oficjalski and I. Bialynicki-Birula, “Collisions of gaussons,” Acta Phys. Pol. B 9, 759–775 (1978).

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

A. H. Piekara, J. S. Moore, and M. S. Feld, “Analysis of self-trapping using the wave equation with high-order nonlinear electric permittivity,” Phys. Rev. A 9, 1403–1407 (1974).

[CrossRef]

V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, “Soliton turbulence,” JETP Lett. 48, 82–87 (1988).

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

M. L. Quiroga-Teixeiro and H. Michinel, “Stable azimuthal stationary state in quintic nonlinear optical media,” J. Opt. Soc. Am. B 14, 2004–2009 (1997).

[CrossRef]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

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

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Interaction of two-space-dimensional classical Q solitons,” Phys. Lett. A 70, 171–176 (1979).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Many dimensional U(1) solitons, their interactions, resonances and bound states,” Phys. Scr. 20, 454–461 (1979).

[CrossRef]

V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, “Soliton turbulence,” JETP Lett. 48, 82–87 (1988).

J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, “Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium,” Phys. Rev. A 45, 3168–3175 (1992).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, D. R. Heartley, E. M. Wright, and N. N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).

[CrossRef]
[PubMed]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

K. Konno and H. Suzuki, “Self-focusing of laser beam in nonlinear media,” Phys. Scr. 20, 382–386 (1979).

[CrossRef]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

V. I. Kruglov and R. A. Vlasov, “Spiral self-trapping propagation of optical beams in media with cubic nonlinearity,” Phys. Lett. A 111, 401–404 (1985).

[CrossRef]

W. G. Wagner, H. A. Haus, and J. H. Marburger, “Large-scale self-trapping of optical beams in the paraxial ray approximation,” Phys. Rev. 175, 256–266 (1968).

[CrossRef]

E. M. Wright, B. I. Lawrence, W. Torruellas, and G. I. Stegeman, “Stable self-trapping and ring formation in polydiacetylene para-toluene sulfonate,” Opt. Lett. 20, 2481–2483 (1996).

[CrossRef]

J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, “Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium,” Phys. Rev. A 45, 3168–3175 (1992).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, D. R. Heartley, E. M. Wright, and N. N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).

[CrossRef]
[PubMed]

V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, “Soliton turbulence,” JETP Lett. 48, 82–87 (1988).

V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, “Soliton turbulence,” JETP Lett. 48, 82–87 (1988).

H. H. Kuehl and C. Y. Zhang, “Effects of higher-order dispersion on envelope solitons,” Phys. Fluids B 2, 889–900 (1990).

[CrossRef]

J. Oficjalski and I. Bialynicki-Birula, “Collisions of gaussons,” Acta Phys. Pol. B 9, 759–775 (1978).

H. A. Haus, “Higher order trapped light beam solutions,” Appl. Phys. Lett. 8, 128–129 (1966).

[CrossRef]

B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, “Large purely refractive nonlinear index of single crystal P-toluene sulphonate (PTS) at 1600 nm,” Electron. Lett. 30, 889–900 (1994).

[CrossRef]

D. Anderson, M. Bonnedal, and M. Lisak, “Nonlinear propagation of elliptically shaped Gaussian laser beams,” J. Plasma Phys. 23, 115–127 (1980).

[CrossRef]

V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, “Soliton turbulence,” JETP Lett. 48, 82–87 (1988).

H. H. Kuehl and C. Y. Zhang, “Effects of higher-order dispersion on envelope solitons,” Phys. Fluids B 2, 889–900 (1990).

[CrossRef]

K. Dimitrievski, E. Reimhult, E. Svensson, A. Ohgren, D. Anderson, A. Berntson, M. Lisak, and M. L. Quiroga-Teixeiro, “Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media,” Phys. Lett. A 248, 369–376 (1998).

[CrossRef]

V. I. Kruglov and R. A. Vlasov, “Spiral self-trapping propagation of optical beams in media with cubic nonlinearity,” Phys. Lett. A 111, 401–404 (1985).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Interaction of two-space-dimensional classical Q solitons,” Phys. Lett. A 70, 171–176 (1979).

[CrossRef]

W. G. Wagner, H. A. Haus, and J. H. Marburger, “Large-scale self-trapping of optical beams in the paraxial ray approximation,” Phys. Rev. 175, 256–266 (1968).

[CrossRef]

J. M. Soto-Crespo, D. R. Heartley, E. M. Wright, and N. N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, “Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium,” Phys. Rev. A 45, 3168–3175 (1992).

[CrossRef]
[PubMed]

A. H. Piekara, J. S. Moore, and M. S. Feld, “Analysis of self-trapping using the wave equation with high-order nonlinear electric permittivity,” Phys. Rev. A 9, 1403–1407 (1974).

[CrossRef]

M. Karlsson, “Optical beams in saturable self-focusing media,” Phys. Rev. A 46, 2726 (1992).

[CrossRef]
[PubMed]

B. A. Malomed, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and L. Stenflo, “Internal dynamics of a soliton in the Zakharov model equations,” Phys. Rev. E 55, 962–968 (1997).

[CrossRef]

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

[CrossRef]

J. H. Marburger and E. Dawes, “Dynamical formation of a small-scale filament,” Phys. Rev. Lett. 21, 556–558 (1968).

[CrossRef]

K. Konno and H. Suzuki, “Self-focusing of laser beam in nonlinear media,” Phys. Scr. 20, 382–386 (1979).

[CrossRef]

V. G. Makhankov, “Computer and solitons,” Phys. Scr. 20, 558–562 (1979).

[CrossRef]

V. G. Makhankov, G. Kummer, and A. B. Shvachka, “Many dimensional U(1) solitons, their interactions, resonances and bound states,” Phys. Scr. 20, 454–461 (1979).

[CrossRef]

M. L. Quiroga-Teixeiro, D. Anderson, A. Berntson, M. Lisak, E. V. Vanin, and A. V. Kim, “Interaction and collision between two optical beams in a saturable nonlinear medium,” presented at the Symposium on Progress in Electromagnetics Research, Innsbruck, Austria, July 8–12, 1996.