Evolution of solitary waves for a perturbed nonlinear Schrödinger equation

DOI10.1016/j.amc.2010.05.015zbMath1197.35228OpenAlexW2168474622MaRDI QIDQ988619

J. Martínez

Publication date: 18 August 2010

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

Full work available at URL: https://ro.uow.edu.au/cgi/viewcontent.cgi?article=10756&context=infopapers

zbMATH Keywords

nonlinear Schrödinger equationsolitonfinite-difference schemediscrete NLS equationsolitary wave tails

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Soliton solutions (35C08)

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Cites Work

• Solitary wave interaction and evolution for a higher-order Hirota equation
• Singularities and groups in bifurcation theory. Volume I
• Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
• Solitary wave interaction for a higher-order nonlinear Schrödinger equation
• Nonlinear Dynamics of Deep-Water Gravity Waves
• Integrability and soliton in a classical one-dimensional site-dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
• A normal form for nonlinear resonance of embedded solitons
• Stability and Evolution of Solitary Waves in Perturbed Generalized Nonlinear Schrödinger Equations
• The disintegration of wave trains on deep water Part 1. Theory

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