E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, "Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation," Phys. Rev. E 73, 036621 (2006).

[CrossRef]

M. H. Frosz, P. Falk, and O. Bang, "The role of the second zero-dispersion wavelength in generation of supercontinua and bright-bright soliton-pairs across the zero-dispersion wavelength," Opt. Express 13, 6181-6192 (2005).

[CrossRef]
[PubMed]

A. Fuerbach, P. Steinvurzel, J. A. Bolger, and B. J. Eggleton, "Nonlinear pulse propagation at zero dispersion wavelength in anti-resonant photonic crystal fibers," Opt. Express 13, 2977-2987 (2005).

[CrossRef]
[PubMed]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).

[CrossRef]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).

[CrossRef]
[PubMed]

See, for example, the special issue on supercontinuum generation, Appl. Phys. B 77, A. Zheltikov, ed. (2003).

J. M. Dudley, L. Provino, N. Grossard, H. Maillotte, R. S. Windeler, B. J. Eggleton, and S. Coen, "Supercontinuum generation in air-silica microstructured fibers with nanosecond and femtosecond pulse pumping," J. Opt. Soc. Am. B 19, 765-771 (2002).

[CrossRef]

See, for example, B. A. Malomed, "Variational methods in nonlinear fiber optics and related fields," Prog. Opt. Vol. 43, (Elsevier, 2002), pp. 71-193, and references therein.

[CrossRef]

F. Kh. Abdullaev and J. G. Caputo, "Validation of the variational approach for chirped pulses in fibers with periodic dispersion," Phys. Rev. E 58, 6637-6648 (1998).

[CrossRef]

M. Golles, I. M. Uzunov, and F. Lederer, "Break up of N-soliton bound states due to intrapulse Raman scattering and third order dispersion--an eigenvalue analysis," Phys. Lett. A 231, 195-200 (1997).

[CrossRef]

J. N. Elgin, T. Brabec, and S. M. J. Kelly, "A perturbative theory of soliton propagation in the presence of third-order dispersion," Opt. Commun. 114, 321-328 (1995).

[CrossRef]

D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).

[CrossRef]

A. Ankiewicz, "Simplified description of soliton perturbation and interaction using averaged complex potentials," J. Nonlinear Opt. Phys. Mater. 4, 857-870 (1995).

[CrossRef]

W. L. Kath and N. F. Smith, "Soliton evolution and radiation loss for the nonlinear Schrödinger equation," Phys. Rev. E 51, 1484-1492 (1995).

[CrossRef]

A. I. Maimistov, "Evolution of single waves close to solitons of Schrödinger nonlinear equation," J. Exp. Theor. Phys. 77, 727 (1993) A. I. Maimistov,[Zh. Eksp. Teor. Fiz. 104, 3620-3629 (1993)].

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman-scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).

[CrossRef]

Yu. Kodama and A. Hasegawa, "Nonlinear pulse-propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).

[CrossRef]

W. Zhao and E. Bourkoff, "Femtosecond pulse-propagation in optical fibers: higher-order effects," IEEE J. Quantum Electron. 24, 365-372 (1987).

[CrossRef]

R. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, "Nonlinear pulse-propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibers," Opt. Lett. 11, 464-466 (1986).

[CrossRef]
[PubMed]

F. M. Mitschke and L. F. Mollenauer, "Discovery of the soliton self-frequency shift," Opt. Lett. 11, 659-661 (1986).

[CrossRef]
[PubMed]

J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11, 662-664 (1986).

[CrossRef]
[PubMed]

D. J. Kaup and A. C. Newell, "Exact solution for a derivative non-linear Schrödinger equation," J. Math. Phys. 19, 798-801 (1978).

[CrossRef]

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

[CrossRef]

F. Kh. Abdullaev and J. G. Caputo, "Validation of the variational approach for chirped pulses in fibers with periodic dispersion," Phys. Rev. E 58, 6637-6648 (1998).

[CrossRef]

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, "Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation," Phys. Rev. E 73, 036621 (2006).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, "Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation," Phys. Rev. E 73, 036621 (2006).

[CrossRef]

A. Ankiewicz, "Simplified description of soliton perturbation and interaction using averaged complex potentials," J. Nonlinear Opt. Phys. Mater. 4, 857-870 (1995).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).

A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).

D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).

[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).

[CrossRef]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman-scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).

[CrossRef]

W. Zhao and E. Bourkoff, "Femtosecond pulse-propagation in optical fibers: higher-order effects," IEEE J. Quantum Electron. 24, 365-372 (1987).

[CrossRef]

J. N. Elgin, T. Brabec, and S. M. J. Kelly, "A perturbative theory of soliton propagation in the presence of third-order dispersion," Opt. Commun. 114, 321-328 (1995).

[CrossRef]

F. Kh. Abdullaev and J. G. Caputo, "Validation of the variational approach for chirped pulses in fibers with periodic dispersion," Phys. Rev. E 58, 6637-6648 (1998).

[CrossRef]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

A. Fuerbach, P. Steinvurzel, J. A. Bolger, and B. J. Eggleton, "Nonlinear pulse propagation at zero dispersion wavelength in anti-resonant photonic crystal fibers," Opt. Express 13, 2977-2987 (2005).

[CrossRef]
[PubMed]

J. M. Dudley, L. Provino, N. Grossard, H. Maillotte, R. S. Windeler, B. J. Eggleton, and S. Coen, "Supercontinuum generation in air-silica microstructured fibers with nanosecond and femtosecond pulse pumping," J. Opt. Soc. Am. B 19, 765-771 (2002).

[CrossRef]

D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).

[CrossRef]

H. Goldstein, Classical Mechanics (Addison-Wesley, 1980).

M. Golles, I. M. Uzunov, and F. Lederer, "Break up of N-soliton bound states due to intrapulse Raman scattering and third order dispersion--an eigenvalue analysis," Phys. Lett. A 231, 195-200 (1997).

[CrossRef]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

Yu. Kodama and A. Hasegawa, "Nonlinear pulse-propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).

[CrossRef]

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).

[CrossRef]
[PubMed]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).

[CrossRef]

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).

[CrossRef]
[PubMed]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

V. I. Karpman, "Radiation of solitons described by a high-order cubic nonlinear Schrödinger equation," Phys. Rev. E 62, 5678-5687 (2000).

[CrossRef]

W. L. Kath and N. F. Smith, "Soliton evolution and radiation loss for the nonlinear Schrödinger equation," Phys. Rev. E 51, 1484-1492 (1995).

[CrossRef]

D. J. Kaup and A. C. Newell, "Exact solution for a derivative non-linear Schrödinger equation," J. Math. Phys. 19, 798-801 (1978).

[CrossRef]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

J. N. Elgin, T. Brabec, and S. M. J. Kelly, "A perturbative theory of soliton propagation in the presence of third-order dispersion," Opt. Commun. 114, 321-328 (1995).

[CrossRef]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).

[CrossRef]
[PubMed]

Yu. Kodama and A. Hasegawa, "Nonlinear pulse-propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).

[CrossRef]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

M. Golles, I. M. Uzunov, and F. Lederer, "Break up of N-soliton bound states due to intrapulse Raman scattering and third order dispersion--an eigenvalue analysis," Phys. Lett. A 231, 195-200 (1997).

[CrossRef]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).

[CrossRef]
[PubMed]

A. I. Maimistov, "Evolution of single waves close to solitons of Schrödinger nonlinear equation," J. Exp. Theor. Phys. 77, 727 (1993) A. I. Maimistov,[Zh. Eksp. Teor. Fiz. 104, 3620-3629 (1993)].

A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).

See, for example, B. A. Malomed, "Variational methods in nonlinear fiber optics and related fields," Prog. Opt. Vol. 43, (Elsevier, 2002), pp. 71-193, and references therein.

[CrossRef]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

D. J. Kaup and A. C. Newell, "Exact solution for a derivative non-linear Schrödinger equation," J. Math. Phys. 19, 798-801 (1978).

[CrossRef]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).

[CrossRef]
[PubMed]

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

[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).

[CrossRef]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).

[CrossRef]
[PubMed]

W. L. Kath and N. F. Smith, "Soliton evolution and radiation loss for the nonlinear Schrödinger equation," Phys. Rev. E 51, 1484-1492 (1995).

[CrossRef]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).

[CrossRef]

E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, "Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation," Phys. Rev. E 73, 036621 (2006).

[CrossRef]

M. Golles, I. M. Uzunov, and F. Lederer, "Break up of N-soliton bound states due to intrapulse Raman scattering and third order dispersion--an eigenvalue analysis," Phys. Lett. A 231, 195-200 (1997).

[CrossRef]

J. M. Dudley, L. Provino, N. Grossard, H. Maillotte, R. S. Windeler, B. J. Eggleton, and S. Coen, "Supercontinuum generation in air-silica microstructured fibers with nanosecond and femtosecond pulse pumping," J. Opt. Soc. Am. B 19, 765-771 (2002).

[CrossRef]

J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air silica microstructure optical fibers with anomalous dispersion at 800nm," Opt. Lett. 25, 25-27 (2000).

[CrossRef]

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman-scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).

[CrossRef]

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

[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).

[CrossRef]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

W. Zhao and E. Bourkoff, "Femtosecond pulse-propagation in optical fibers: higher-order effects," IEEE J. Quantum Electron. 24, 365-372 (1987).

[CrossRef]

See, for example, the special issue on supercontinuum generation, Appl. Phys. B 77, A. Zheltikov, ed. (2003).

Yu. Kodama and A. Hasegawa, "Nonlinear pulse-propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).

[CrossRef]

D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).

[CrossRef]

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman-scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).

[CrossRef]

W. Zhao and E. Bourkoff, "Femtosecond pulse-propagation in optical fibers: higher-order effects," IEEE J. Quantum Electron. 24, 365-372 (1987).

[CrossRef]

A. I. Maimistov, "Evolution of single waves close to solitons of Schrödinger nonlinear equation," J. Exp. Theor. Phys. 77, 727 (1993) A. I. Maimistov,[Zh. Eksp. Teor. Fiz. 104, 3620-3629 (1993)].

D. J. Kaup and A. C. Newell, "Exact solution for a derivative non-linear Schrödinger equation," J. Math. Phys. 19, 798-801 (1978).

[CrossRef]

A. Ankiewicz, "Simplified description of soliton perturbation and interaction using averaged complex potentials," J. Nonlinear Opt. Phys. Mater. 4, 857-870 (1995).

[CrossRef]

J. M. Dudley, L. Provino, N. Grossard, H. Maillotte, R. S. Windeler, B. J. Eggleton, and S. Coen, "Supercontinuum generation in air-silica microstructured fibers with nanosecond and femtosecond pulse pumping," J. Opt. Soc. Am. B 19, 765-771 (2002).

[CrossRef]

T. P. Horikis and J. N. Elgin, "Soliton radiation in an optical fiber," J. Opt. Soc. Am. B 18, 913-918 (2001).

[CrossRef]

J. N. Elgin, T. Brabec, and S. M. J. Kelly, "A perturbative theory of soliton propagation in the presence of third-order dispersion," Opt. Commun. 114, 321-328 (1995).

[CrossRef]

M. H. Frosz, P. Falk, and O. Bang, "The role of the second zero-dispersion wavelength in generation of supercontinua and bright-bright soliton-pairs across the zero-dispersion wavelength," Opt. Express 13, 6181-6192 (2005).

[CrossRef]
[PubMed]

K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).

[CrossRef]
[PubMed]

A. Fuerbach, P. Steinvurzel, J. A. Bolger, and B. J. Eggleton, "Nonlinear pulse propagation at zero dispersion wavelength in anti-resonant photonic crystal fibers," Opt. Express 13, 2977-2987 (2005).

[CrossRef]
[PubMed]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).

[CrossRef]
[PubMed]

F. M. Mitschke and L. F. Mollenauer, "Discovery of the soliton self-frequency shift," Opt. Lett. 11, 659-661 (1986).

[CrossRef]
[PubMed]

J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11, 662-664 (1986).

[CrossRef]
[PubMed]

J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air silica microstructure optical fibers with anomalous dispersion at 800nm," Opt. Lett. 25, 25-27 (2000).

[CrossRef]

R. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, "Nonlinear pulse-propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibers," Opt. Lett. 11, 464-466 (1986).

[CrossRef]
[PubMed]

M. Golles, I. M. Uzunov, and F. Lederer, "Break up of N-soliton bound states due to intrapulse Raman scattering and third order dispersion--an eigenvalue analysis," Phys. Lett. A 231, 195-200 (1997).

[CrossRef]

E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, "Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation," Phys. Rev. E 73, 036621 (2006).

[CrossRef]

F. Kh. Abdullaev and J. G. Caputo, "Validation of the variational approach for chirped pulses in fibers with periodic dispersion," Phys. Rev. E 58, 6637-6648 (1998).

[CrossRef]

W. L. Kath and N. F. Smith, "Soliton evolution and radiation loss for the nonlinear Schrödinger equation," Phys. Rev. E 51, 1484-1492 (1995).

[CrossRef]

V. I. Karpman, "Radiation of solitons described by a high-order cubic nonlinear Schrödinger equation," Phys. Rev. E 62, 5678-5687 (2000).

[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).

[CrossRef]

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).

[CrossRef]
[PubMed]

See, for example, B. A. Malomed, "Variational methods in nonlinear fiber optics and related fields," Prog. Opt. Vol. 43, (Elsevier, 2002), pp. 71-193, and references therein.

[CrossRef]

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

[CrossRef]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).

[CrossRef]
[PubMed]

A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

H. Goldstein, Classical Mechanics (Addison-Wesley, 1980).

See, for example, R.R.Alfano, ed., The Supercontinuum Laser Source (Springer-Verlag, 1989).

N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).