Internal Oscillations and Radiation Damping of Vector Solitons

DOI10.1111/1467-9590.00151zbMath1020.35081OpenAlexW1972085253MaRDI QIDQ4784708

Dmitry E. Pelinovsky, Jianke Yang

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00151

zbMATH Keywords

bifurcationsalgebraic decay ratesframework of coupled nonlinear Schrödinger equations

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (7)

Instabilities of Multihump Vector Solitons in Coupled Nonlinear Schrödinger Equations ⋮ Spatial Vector Solitons in Nonlinear Photonic Crystal Fibers ⋮ Existence of generalized heteroclinic solutions of the coupled Schrödinger system under a small perturbation ⋮ Internal vibrations of nonlocal nonlinear Schrödinger soliton ⋮ Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations ⋮ Fractal dependence of vector-soliton collisions in birefringent fibers ⋮ Structure of linearization operators of the Korteweg-de Vries hierarchy equations expanded around single-soliton solutions

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