Envelope compacton and solitary pattern solutions of a generalized nonlinear Schrödinger equation

DOI10.1016/j.na.2007.12.020zbMath1159.35430OpenAlexW2152573285MaRDI QIDQ2518597

Li-jun Zhang, Li Qun Chen

Publication date: 16 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.12.020

zbMATH Keywords

dynamical systemgeneralized nonlinear Schrödinger equationenvelope compacton

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (9)

Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion ⋮ Soliton-type solutions for two models in mathematical physics ⋮ Classification of optical wave solutions to the nonlinearly dispersive Schrödinger equation ⋮ EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATION WITH VARIABLE COEFFICIENTS ⋮ Exact solutions of the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations ⋮ Compactons and their variational properties for degenerate KdV and NLS in dimension 1 ⋮ Multi-dimensional compactons and compact vortices ⋮ On the stability of the compacton waves for the degenerate KdV and NLS models ⋮ Some special structures for the generalized nonlinear Schrödinger equation with nonlinear dispersion

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