Theory of non-Kerr law solitons

DOI10.1016/S0096-3003(03)00638-6zbMath1059.35133MaRDI QIDQ1826980

Anjan Biswas

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Non-Kerr lawSoliton perturbationVector solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ The modified \(\frac {G \prime}{G}\)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method ⋮ Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws

Cites Work

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• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• A modified conservation law for the phase of the nonlinear Schrödinger soliton
• Perturbation of solitons with non-Kerr law nonlinearity.
• Perturbation of solitons due to power law nonlinearity
• The inverse scattering transform: Semi-infinite interval
• Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity
• Stability and Evolution of Solitary Waves in Perturbed Generalized Nonlinear Schrödinger Equations
• The spectral theory of a functional-difference operator in conformal field theory

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