Z. H. Musslimani, M. Soljaĉić, M. Segev, and D. N. Christodoulides, “Delayed-action interaction and spin–orbit coupling between solitons,” Phys. Rev. Lett. 86, 799–802 (2001).

[CrossRef]
[PubMed]

I. Towers, A. V. Buryak, R. A. Sammut, and B. A. Malomed, “Stable localized vortex solitons,” Phys. Rev. E 63, 055601 (R) (2001).

[CrossRef]

B. V. Gisin, A. Kaplan, and B. A. Malomed, “All-optical switching in an antiwaveguiding structure,” Opt. Quantum Electron. 33, 201–208 (2001).

[CrossRef]

B. Gisin, A. Kaplan, and B. Malomed, “Spontaneous sym-metry breaking and switching in planar nonlinear antiwaveguides,” Phys. Rev. E 62, 2804–2809 (2000).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. Juul Rasmussen, P. L. Christiansen, and Yu. B. Gaididei, “Self-guiding light in layered nonlinear media,” Opt. Lett. 25, 1037–1039 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

L. Brzozowski and E. H. Sargent, “Optical signal processing using nonlinear distributed feedback structures,” IEEE J. Quantum Electron. 36, 550–555 (2000).

[CrossRef]

L. J. Qian, X. Liu, and F. W. Wise, “Femtosecond Kerr-lens mode locking with negative nonlinear phase shifts,” Opt. Lett. 24, 166–168 (1999).

[CrossRef]

X. Liu, L. Qian, and F. Wise, “High-energy pulse compression by use of negative phase shifts produced by the cascade χ^{(2)}:χ^{(2)} nonlinearity,” Opt. Lett. 24, 1777–1779 (1999).

[CrossRef]

L. Torner, “Walk-off compensated dispersion-mapped quadratic solitons,” IEEE Photon. Technol. Lett. 11, 1268–1270 (1999).

[CrossRef]

T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).

[CrossRef]

S. K. Turitsyn and E. G. Shapiro, “Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion,” Opt. Lett. 23, 682–684 (1998).

[CrossRef]

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, “Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion,” Opt. Lett. 23, 900–902 (1998).

[CrossRef]

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

[CrossRef]

M. Soljaĉić, S. Sears, and M. Segev, “Self-trapping of ‘necklace’ beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

D. V. Petrov and L. Torner, “Second-harmonic generation by intense beams containing phase dislocations: self-breaking into sets of solitons,” Opt. Quantum Electron. 29, 1037–1046 (1997).

[CrossRef]

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

[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455–2458 (1996).

[CrossRef]
[PubMed]

B. A. Malomed, D. F. Parker, and N. F. Smyth, “Resonant shape oscillations and decay of a soliton in periodically inhomogeneous nonlinear optical fiber,” Phys. Rev. E 48, 1418–1425 (1993).

[CrossRef]

J. Miranda, D. R. Andersen, and S. R. Skinner, “Stability analysis of stationary nonlinear guided waves in self-focusing and self-defocusing Kerr-like media,” Phys. Rev. A 46, 5999–6001 (1992).

[CrossRef]
[PubMed]

V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, “The theory of spiral laser beams in nonlinear media,” J. Mod. Opt. 39, 2277–2291 (1992).

[CrossRef]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self-focusing in nonlinear media,” Opt. Commun. 75, 129–135 (1990).

[CrossRef]

A. Barthelemy, S. Maneuf, and C. Froehly, “Propagation soliton et auto-confinement de faisceaux laser par non linearité optique de Kerr,” Opt. Commun. 55, 201–206 (1985).

[CrossRef]

J. R. Ray and J. L. Reid, “Noether’s theorem, time-dependent invariants and nonlinear equations of motion,” J. Math. Phys. 20, 2054–2057 (1979).

[CrossRef]

C. J. Elliott and B. R. Suydam, “Self-focusing phenomena in air–glass laser structures,” IEEE J. Quantum Electron. QE-11, 863–866 (1975).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

J. Miranda, D. R. Andersen, and S. R. Skinner, “Stability analysis of stationary nonlinear guided waves in self-focusing and self-defocusing Kerr-like media,” Phys. Rev. A 46, 5999–6001 (1992).

[CrossRef]
[PubMed]

A. Barthelemy, S. Maneuf, and C. Froehly, “Propagation soliton et auto-confinement de faisceaux laser par non linearité optique de Kerr,” Opt. Commun. 55, 201–206 (1985).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. Juul Rasmussen, P. L. Christiansen, and Yu. B. Gaididei, “Self-guiding light in layered nonlinear media,” Opt. Lett. 25, 1037–1039 (2000).

[CrossRef]

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

[CrossRef]

L. Brzozowski and E. H. Sargent, “Optical signal processing using nonlinear distributed feedback structures,” IEEE J. Quantum Electron. 36, 550–555 (2000).

[CrossRef]

I. Towers, A. V. Buryak, R. A. Sammut, and B. A. Malomed, “Stable localized vortex solitons,” Phys. Rev. E 63, 055601 (R) (2001).

[CrossRef]

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

[CrossRef]

Z. H. Musslimani, M. Soljaĉić, M. Segev, and D. N. Christodoulides, “Delayed-action interaction and spin–orbit coupling between solitons,” Phys. Rev. Lett. 86, 799–802 (2001).

[CrossRef]
[PubMed]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self-focusing in nonlinear media,” Opt. Commun. 75, 129–135 (1990).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, “Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion,” Opt. Lett. 23, 900–902 (1998).

[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).

[CrossRef]

C. J. Elliott and B. R. Suydam, “Self-focusing phenomena in air–glass laser structures,” IEEE J. Quantum Electron. QE-11, 863–866 (1975).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, “Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion,” Opt. Lett. 23, 900–902 (1998).

[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).

[CrossRef]

A. Barthelemy, S. Maneuf, and C. Froehly, “Propagation soliton et auto-confinement de faisceaux laser par non linearité optique de Kerr,” Opt. Commun. 55, 201–206 (1985).

[CrossRef]

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

[CrossRef]

B. Gisin, A. Kaplan, and B. Malomed, “Spontaneous sym-metry breaking and switching in planar nonlinear antiwaveguides,” Phys. Rev. E 62, 2804–2809 (2000).

[CrossRef]

A. Kaplan, B. V. Gisin, and B. A. Malomed, “Stable propagation and all-optical switching in planar waveguide–antiwaveguide periodic structures,” J. Opt. Soc. Am. B 19, 522–528 (2002).

[CrossRef]

B. V. Gisin, A. Kaplan, and B. A. Malomed, “All-optical switching in an antiwaveguiding structure,” Opt. Quantum Electron. 33, 201–208 (2001).

[CrossRef]

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

[CrossRef]

A. Kaplan, B. V. Gisin, and B. A. Malomed, “Stable propagation and all-optical switching in planar waveguide–antiwaveguide periodic structures,” J. Opt. Soc. Am. B 19, 522–528 (2002).

[CrossRef]

B. V. Gisin, A. Kaplan, and B. A. Malomed, “All-optical switching in an antiwaveguiding structure,” Opt. Quantum Electron. 33, 201–208 (2001).

[CrossRef]

B. Gisin, A. Kaplan, and B. Malomed, “Spontaneous sym-metry breaking and switching in planar nonlinear antiwaveguides,” Phys. Rev. E 62, 2804–2809 (2000).

[CrossRef]

T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).

[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).

[CrossRef]

V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, “The theory of spiral laser beams in nonlinear media,” J. Mod. Opt. 39, 2277–2291 (1992).

[CrossRef]

T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

L. J. Qian, X. Liu, and F. W. Wise, “Femtosecond Kerr-lens mode locking with negative nonlinear phase shifts,” Opt. Lett. 24, 166–168 (1999).

[CrossRef]

X. Liu, L. Qian, and F. Wise, “High-energy pulse compression by use of negative phase shifts produced by the cascade χ^{(2)}:χ^{(2)} nonlinearity,” Opt. Lett. 24, 1777–1779 (1999).

[CrossRef]

V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, “The theory of spiral laser beams in nonlinear media,” J. Mod. Opt. 39, 2277–2291 (1992).

[CrossRef]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self-focusing in nonlinear media,” Opt. Commun. 75, 129–135 (1990).

[CrossRef]

B. Gisin, A. Kaplan, and B. Malomed, “Spontaneous sym-metry breaking and switching in planar nonlinear antiwaveguides,” Phys. Rev. E 62, 2804–2809 (2000).

[CrossRef]

A. Kaplan, B. V. Gisin, and B. A. Malomed, “Stable propagation and all-optical switching in planar waveguide–antiwaveguide periodic structures,” J. Opt. Soc. Am. B 19, 522–528 (2002).

[CrossRef]

B. V. Gisin, A. Kaplan, and B. A. Malomed, “All-optical switching in an antiwaveguiding structure,” Opt. Quantum Electron. 33, 201–208 (2001).

[CrossRef]

I. Towers, A. V. Buryak, R. A. Sammut, and B. A. Malomed, “Stable localized vortex solitons,” Phys. Rev. E 63, 055601 (R) (2001).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).

[CrossRef]

B. A. Malomed, D. F. Parker, and N. F. Smyth, “Resonant shape oscillations and decay of a soliton in periodically inhomogeneous nonlinear optical fiber,” Phys. Rev. E 48, 1418–1425 (1993).

[CrossRef]

A. Barthelemy, S. Maneuf, and C. Froehly, “Propagation soliton et auto-confinement de faisceaux laser par non linearité optique de Kerr,” Opt. Commun. 55, 201–206 (1985).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455–2458 (1996).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455–2458 (1996).

[CrossRef]
[PubMed]

J. Miranda, D. R. Andersen, and S. R. Skinner, “Stability analysis of stationary nonlinear guided waves in self-focusing and self-defocusing Kerr-like media,” Phys. Rev. A 46, 5999–6001 (1992).

[CrossRef]
[PubMed]

Z. H. Musslimani, M. Soljaĉić, M. Segev, and D. N. Christodoulides, “Delayed-action interaction and spin–orbit coupling between solitons,” Phys. Rev. Lett. 86, 799–802 (2001).

[CrossRef]
[PubMed]

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, “Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion,” Opt. Lett. 23, 900–902 (1998).

[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).

[CrossRef]

B. A. Malomed, D. F. Parker, and N. F. Smyth, “Resonant shape oscillations and decay of a soliton in periodically inhomogeneous nonlinear optical fiber,” Phys. Rev. E 48, 1418–1425 (1993).

[CrossRef]

D. V. Petrov and L. Torner, “Second-harmonic generation by intense beams containing phase dislocations: self-breaking into sets of solitons,” Opt. Quantum Electron. 29, 1037–1046 (1997).

[CrossRef]

J. R. Ray and J. L. Reid, “Noether’s theorem, time-dependent invariants and nonlinear equations of motion,” J. Math. Phys. 20, 2054–2057 (1979).

[CrossRef]

J. R. Ray and J. L. Reid, “Noether’s theorem, time-dependent invariants and nonlinear equations of motion,” J. Math. Phys. 20, 2054–2057 (1979).

[CrossRef]

I. Towers, A. V. Buryak, R. A. Sammut, and B. A. Malomed, “Stable localized vortex solitons,” Phys. Rev. E 63, 055601 (R) (2001).

[CrossRef]

L. Brzozowski and E. H. Sargent, “Optical signal processing using nonlinear distributed feedback structures,” IEEE J. Quantum Electron. 36, 550–555 (2000).

[CrossRef]

M. Soljaĉić, S. Sears, and M. Segev, “Self-trapping of ‘necklace’ beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

Z. H. Musslimani, M. Soljaĉić, M. Segev, and D. N. Christodoulides, “Delayed-action interaction and spin–orbit coupling between solitons,” Phys. Rev. Lett. 86, 799–802 (2001).

[CrossRef]
[PubMed]

M. Soljaĉić, S. Sears, and M. Segev, “Self-trapping of ‘necklace’ beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

J. Miranda, D. R. Andersen, and S. R. Skinner, “Stability analysis of stationary nonlinear guided waves in self-focusing and self-defocusing Kerr-like media,” Phys. Rev. A 46, 5999–6001 (1992).

[CrossRef]
[PubMed]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

B. A. Malomed, D. F. Parker, and N. F. Smyth, “Resonant shape oscillations and decay of a soliton in periodically inhomogeneous nonlinear optical fiber,” Phys. Rev. E 48, 1418–1425 (1993).

[CrossRef]

Z. H. Musslimani, M. Soljaĉić, M. Segev, and D. N. Christodoulides, “Delayed-action interaction and spin–orbit coupling between solitons,” Phys. Rev. Lett. 86, 799–802 (2001).

[CrossRef]
[PubMed]

M. Soljaĉić, S. Sears, and M. Segev, “Self-trapping of ‘necklace’ beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

C. J. Elliott and B. R. Suydam, “Self-focusing phenomena in air–glass laser structures,” IEEE J. Quantum Electron. QE-11, 863–866 (1975).

[CrossRef]

L. Torner, “Walk-off compensated dispersion-mapped quadratic solitons,” IEEE Photon. Technol. Lett. 11, 1268–1270 (1999).

[CrossRef]

D. V. Petrov and L. Torner, “Second-harmonic generation by intense beams containing phase dislocations: self-breaking into sets of solitons,” Opt. Quantum Electron. 29, 1037–1046 (1997).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455–2458 (1996).

[CrossRef]
[PubMed]

I. Towers, A. V. Buryak, R. A. Sammut, and B. A. Malomed, “Stable localized vortex solitons,” Phys. Rev. E 63, 055601 (R) (2001).

[CrossRef]

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

[CrossRef]

V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, “The theory of spiral laser beams in nonlinear media,” J. Mod. Opt. 39, 2277–2291 (1992).

[CrossRef]

T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).

[CrossRef]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self-focusing in nonlinear media,” Opt. Commun. 75, 129–135 (1990).

[CrossRef]

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

[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).

[CrossRef]

C. J. Elliott and B. R. Suydam, “Self-focusing phenomena in air–glass laser structures,” IEEE J. Quantum Electron. QE-11, 863–866 (1975).

[CrossRef]

L. Brzozowski and E. H. Sargent, “Optical signal processing using nonlinear distributed feedback structures,” IEEE J. Quantum Electron. 36, 550–555 (2000).

[CrossRef]

L. Torner, “Walk-off compensated dispersion-mapped quadratic solitons,” IEEE Photon. Technol. Lett. 11, 1268–1270 (1999).

[CrossRef]

J. R. Ray and J. L. Reid, “Noether’s theorem, time-dependent invariants and nonlinear equations of motion,” J. Math. Phys. 20, 2054–2057 (1979).

[CrossRef]

V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, “The theory of spiral laser beams in nonlinear media,” J. Mod. Opt. 39, 2277–2291 (1992).

[CrossRef]

M. Desaix, D. Anderson, and M. Lisak, “Variational approach to collapse of optical pulses,” J. Opt. Soc. Am. B 8, 2082–2086 (1991).

[CrossRef]

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

[CrossRef]

A. Kaplan, B. V. Gisin, and B. A. Malomed, “Stable propagation and all-optical switching in planar waveguide–antiwaveguide periodic structures,” J. Opt. Soc. Am. B 19, 522–528 (2002).

[CrossRef]

T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).

[CrossRef]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self-focusing in nonlinear media,” Opt. Commun. 75, 129–135 (1990).

[CrossRef]

A. Barthelemy, S. Maneuf, and C. Froehly, “Propagation soliton et auto-confinement de faisceaux laser par non linearité optique de Kerr,” Opt. Commun. 55, 201–206 (1985).

[CrossRef]

S. K. Turitsyn and E. G. Shapiro, “Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion,” Opt. Lett. 23, 682–684 (1998).

[CrossRef]

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, “Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion,” Opt. Lett. 23, 900–902 (1998).

[CrossRef]

A. Hasegawa and Y. Kodama, “Guiding-center soliton in fibers with periodically varying dispersion,” Opt. Lett. 16, 1385–1387 (1991).

[CrossRef]
[PubMed]

L. J. Qian, X. Liu, and F. W. Wise, “Femtosecond Kerr-lens mode locking with negative nonlinear phase shifts,” Opt. Lett. 24, 166–168 (1999).

[CrossRef]

X. Liu, L. Qian, and F. Wise, “High-energy pulse compression by use of negative phase shifts produced by the cascade χ^{(2)}:χ^{(2)} nonlinearity,” Opt. Lett. 24, 1777–1779 (1999).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. Juul Rasmussen, P. L. Christiansen, and Yu. B. Gaididei, “Self-guiding light in layered nonlinear media,” Opt. Lett. 25, 1037–1039 (2000).

[CrossRef]

B. V. Gisin, A. Kaplan, and B. A. Malomed, “All-optical switching in an antiwaveguiding structure,” Opt. Quantum Electron. 33, 201–208 (2001).

[CrossRef]

D. V. Petrov and L. Torner, “Second-harmonic generation by intense beams containing phase dislocations: self-breaking into sets of solitons,” Opt. Quantum Electron. 29, 1037–1046 (1997).

[CrossRef]

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

[CrossRef]

J. Miranda, D. R. Andersen, and S. R. Skinner, “Stability analysis of stationary nonlinear guided waves in self-focusing and self-defocusing Kerr-like media,” Phys. Rev. A 46, 5999–6001 (1992).

[CrossRef]
[PubMed]

B. A. Malomed, D. F. Parker, and N. F. Smyth, “Resonant shape oscillations and decay of a soliton in periodically inhomogeneous nonlinear optical fiber,” Phys. Rev. E 48, 1418–1425 (1993).

[CrossRef]

B. Gisin, A. Kaplan, and B. Malomed, “Spontaneous sym-metry breaking and switching in planar nonlinear antiwaveguides,” Phys. Rev. E 62, 2804–2809 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Azimuthal instability of spinning spatiotemporal solitons,” Phys. Rev. E 62, R1505–R1508 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, “Three-dimensional spinning solitons in the cubic-quintic nonlinear medium,” Phys. Rev. E 61, 7142–7145 (2000).

[CrossRef]

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