Theory of non-Kerr law generalized vector solitons.

DOI10.1016/S0096-3003(02)00054-1zbMath1033.35113OpenAlexW2071760719MaRDI QIDQ1856044

Anjan Biswas

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00054-1

zbMATH Keywords

generalized nonlinear Schrödinger equationsoliton perturbation theoryperturbed vector solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Cites Work

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• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Perturbation of solitons with non-Kerr law nonlinearity.
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• 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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