P. L. Kelley, “The nonlinear index of refraction and self-action effects in optical propagation,” IEEE J. Sel. Top. Quantum Electron. 6, 1259–1264 (2000).

[CrossRef]

N. V. Akhmediev and N. V. Mitzkevich, “Extremely high degree of N-soliton pulse compression in optical fiber,” IEEE J. Quantum Electron. 27, 849–857 (1991).

[CrossRef]

E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).

M. J. Potasek, G. P. Agrawal, and S. C. Pinault, “Analytic and numerical study of pulse broadening in nonlinear dispersive fibers,” J. Opt. Soc. Am. B 3, 205–211 (1986).

[CrossRef]

J. A. C. Weideman and B. M. Herbst, “Split-step methods for the solution of the nonlinear Schrödinger equation,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 23, 485–507 (1986).

[CrossRef]

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Prog. Theor. Phys. 55, 284–306 (1974).

[CrossRef]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

R. A. Fisher, P. L. Kelley, and T. K. Gustafson, “Subpicosecond pulse generation using the optical Kerr effect,” Appl. Phys. Lett. 14, 140–143 (1969).

[CrossRef]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).

[CrossRef]

N. V. Akhmediev and N. V. Mitzkevich, “Extremely high degree of N-soliton pulse compression in optical fiber,” IEEE J. Quantum Electron. 27, 849–857 (1991).

[CrossRef]

E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).

R. A. Fisher, P. L. Kelley, and T. K. Gustafson, “Subpicosecond pulse generation using the optical Kerr effect,” Appl. Phys. Lett. 14, 140–143 (1969).

[CrossRef]

R. A. Fisher, P. L. Kelley, and T. K. Gustafson, “Subpicosecond pulse generation using the optical Kerr effect,” Appl. Phys. Lett. 14, 140–143 (1969).

[CrossRef]

J. A. C. Weideman and B. M. Herbst, “Split-step methods for the solution of the nonlinear Schrödinger equation,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 23, 485–507 (1986).

[CrossRef]

P. L. Kelley, “The nonlinear index of refraction and self-action effects in optical propagation,” IEEE J. Sel. Top. Quantum Electron. 6, 1259–1264 (2000).

[CrossRef]

R. A. Fisher, P. L. Kelley, and T. K. Gustafson, “Subpicosecond pulse generation using the optical Kerr effect,” Appl. Phys. Lett. 14, 140–143 (1969).

[CrossRef]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).

[CrossRef]

N. V. Akhmediev and N. V. Mitzkevich, “Extremely high degree of N-soliton pulse compression in optical fiber,” IEEE J. Quantum Electron. 27, 849–857 (1991).

[CrossRef]

E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).

E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).

E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Prog. Theor. Phys. 55, 284–306 (1974).

[CrossRef]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

J. A. C. Weideman and B. M. Herbst, “Split-step methods for the solution of the nonlinear Schrödinger equation,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 23, 485–507 (1986).

[CrossRef]

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Prog. Theor. Phys. 55, 284–306 (1974).

[CrossRef]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

R. A. Fisher, P. L. Kelley, and T. K. Gustafson, “Subpicosecond pulse generation using the optical Kerr effect,” Appl. Phys. Lett. 14, 140–143 (1969).

[CrossRef]

N. V. Akhmediev and N. V. Mitzkevich, “Extremely high degree of N-soliton pulse compression in optical fiber,” IEEE J. Quantum Electron. 27, 849–857 (1991).

[CrossRef]

P. L. Kelley, “The nonlinear index of refraction and self-action effects in optical propagation,” IEEE J. Sel. Top. Quantum Electron. 6, 1259–1264 (2000).

[CrossRef]

Y. Silberberg, “Collapse of optical pulses,” Opt. Lett. 15, 1282–1285 (1990).

[CrossRef]
[PubMed]

G. P. Agrawal, “Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers,” Opt. Lett. 15, 224–226 (1990).

[CrossRef]
[PubMed]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, and W. J. Tomlinson, “Extreme picosecond pulse narrowing by means of the soliton effect in single-mode optical fibers,” Opt. Lett. 8, 289–291 (1983).

[CrossRef]
[PubMed]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).

[CrossRef]

J. A. C. Weideman and B. M. Herbst, “Split-step methods for the solution of the nonlinear Schrödinger equation,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 23, 485–507 (1986).

[CrossRef]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Prog. Theor. Phys. 55, 284–306 (1974).

[CrossRef]

M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, Philadelphia, 1981).

G. L. Lamb, Jr., Elements of Soliton Theory (Wiley, New York, 1981).

For a review of this topic, see G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, 1995).

S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, “Self-focusing, self-defocusing, and self-modulation of laser beams,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972), Vol. 2, pp. 1151–1228.

O. Svelto, “Self-focusing, self-trapping, and self-phase-modulation of light beams,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1972), Vol. 12, pp. 1–51.

J. H. Marburger, “Self-focusing: theory,” in Progress in Quantum Electronics, J. H. Sanders and S. Stenholm, eds. (Pergamon, New York, 1974), Vol. 4, pp. 35–110.