V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous Solitons in External Potentials,” Phys. Rev. Lett. 98,074102 (2007).

[Crossref]
[PubMed]

C. Finot and G. Millot, “Collisions between similaritons in optical fiber amplifiers,” Opt. Express 13,7653–7665 (2005).

[Crossref]
[PubMed]

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90,113902 (2003).

[Crossref]
[PubMed]

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron 8,418–431 (2002).

[Crossref]

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, “Formation and propagation of matter-wave soliton trains,” Nature 417,150–153 (2002).

[Crossref]
[PubMed]

R. Balakrishnan, “Soliton propagation in nonuniform media,” Phys. Rev. A 32,1144–1149 (1985).

[Crossref]
[PubMed]

H.-H. Chen and C.-S. Liu, ‘Solitons in nonuniform nedia,” Phys. Rev. Lett. 37,693–697 (1976).

[Crossref]

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

M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations, and Inverse Scattering (Cambridge University Press, Cambridge, UK, 2003).

S. A. Ponomarenko and G. P. Agrawal, “Do solitonlike self-similar waves exist in nonlinear optical media?,” Phys. Rev. Lett. 97,013901 (2006).

[Crossref]
[PubMed]

G. P. Agrawal, Lightwave technology: Telecommunication Systems (Wiley, Hoboken, NJ, 2005).

[Crossref]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, CA, 2003).

G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic Press, San Diego, CA, 2007).

R. Balakrishnan, “Soliton propagation in nonuniform media,” Phys. Rev. A 32,1144–1149 (1985).

[Crossref]
[PubMed]

G. I. Barenblatt, Scaling, self-similarity, and intermediate asymptotics (Cambridge University Press, Cambridge, UK, 1996).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous Solitons in External Potentials,” Phys. Rev. Lett. 98,074102 (2007).

[Crossref]
[PubMed]

H.-H. Chen and C.-S. Liu, ‘Solitons in nonuniform nedia,” Phys. Rev. Lett. 37,693–697 (1976).

[Crossref]

M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations, and Inverse Scattering (Cambridge University Press, Cambridge, UK, 2003).

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

L. F. Mollenauer and J. P. Gordon, Solitons in Optical Fibers: Fundamentals and Applications (Academic Press, San Diego, CA, 2006).

V. I. Kruglov and J. D. Harvey, “Asymptotically exact parabolic solutions of the generalized nonlinear Schrödinger equation with varying parameters,” J. Opt. Soc. Am. B 23,2541–2550 (2006).

[Crossref]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90,113902 (2003).

[Crossref]
[PubMed]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25,1753–1755 (2000).

[Crossref]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous Solitons in External Potentials,” Phys. Rev. Lett. 98,074102 (2007).

[Crossref]
[PubMed]

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron 8,418–431 (2002).

[Crossref]

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85,4502–4505 (2000).

[Crossref]
[PubMed]

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, “Formation and propagation of matter-wave soliton trains,” Nature 417,150–153 (2002).

[Crossref]
[PubMed]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, CA, 2003).

V. I. Kruglov and J. D. Harvey, “Asymptotically exact parabolic solutions of the generalized nonlinear Schrödinger equation with varying parameters,” J. Opt. Soc. Am. B 23,2541–2550 (2006).

[Crossref]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90,113902 (2003).

[Crossref]
[PubMed]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25,1753–1755 (2000).

[Crossref]

H.-H. Chen and C.-S. Liu, ‘Solitons in nonuniform nedia,” Phys. Rev. Lett. 37,693–697 (1976).

[Crossref]

L. F. Mollenauer and J. P. Gordon, Solitons in Optical Fibers: Fundamentals and Applications (Academic Press, San Diego, CA, 2006).

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, “Formation and propagation of matter-wave soliton trains,” Nature 417,150–153 (2002).

[Crossref]
[PubMed]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90,113902 (2003).

[Crossref]
[PubMed]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25,1753–1755 (2000).

[Crossref]

S. A. Ponomarenko and G. P. Agrawal, “Do solitonlike self-similar waves exist in nonlinear optical media?,” Phys. Rev. Lett. 97,013901 (2006).

[Crossref]
[PubMed]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous Solitons in External Potentials,” Phys. Rev. Lett. 98,074102 (2007).

[Crossref]
[PubMed]

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron 8,418–431 (2002).

[Crossref]

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85,4502–4505 (2000).

[Crossref]
[PubMed]

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

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, “Formation and propagation of matter-wave soliton trains,” Nature 417,150–153 (2002).

[Crossref]
[PubMed]

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, “Formation and propagation of matter-wave soliton trains,” Nature 417,150–153 (2002).

[Crossref]
[PubMed]

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

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

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

B. Tian, W. R. Shan, C. Y. Zhang, G. M. Wei, and Y. T. Gao, “Transformations for a generalized variable-coefficient nonlinear Schrodinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation,” Eur. Phys. J. B 47,329–332 (2005).

[Crossref]

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron 8,418–431 (2002).

[Crossref]

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, “Formation and propagation of matter-wave soliton trains,” Nature 417,150–153 (2002).

[Crossref]
[PubMed]

R. Balakrishnan, “Soliton propagation in nonuniform media,” Phys. Rev. A 32,1144–1149 (1985).

[Crossref]
[PubMed]

H.-H. Chen and C.-S. Liu, ‘Solitons in nonuniform nedia,” Phys. Rev. Lett. 37,693–697 (1976).

[Crossref]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous Solitons in External Potentials,” Phys. Rev. Lett. 98,074102 (2007).

[Crossref]
[PubMed]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90,113902 (2003).

[Crossref]
[PubMed]

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85,4502–4505 (2000).

[Crossref]
[PubMed]

S. A. Ponomarenko and G. P. Agrawal, “Do solitonlike self-similar waves exist in nonlinear optical media?,” Phys. Rev. Lett. 97,013901 (2006).

[Crossref]
[PubMed]

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

G. I. Barenblatt, Scaling, self-similarity, and intermediate asymptotics (Cambridge University Press, Cambridge, UK, 1996).

M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations, and Inverse Scattering (Cambridge University Press, Cambridge, UK, 2003).

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, CA, 2003).

L. F. Mollenauer and J. P. Gordon, Solitons in Optical Fibers: Fundamentals and Applications (Academic Press, San Diego, CA, 2006).

G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic Press, San Diego, CA, 2007).

G. P. Agrawal, Lightwave technology: Telecommunication Systems (Wiley, Hoboken, NJ, 2005).

[Crossref]