Interaction of solitary waves for the generalized KdV equation

DOI10.1016/J.CNSNS.2011.12.001zbMath1247.35131OpenAlexW1965175166MaRDI QIDQ446075

Georgii A. Omel'yanov, Martin G. Garcia Alvarado

Publication date: 28 August 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.12.001

zbMATH Keywords

solitongeneralized Korteweg-de Vries equationinteractionfinite differences schemeweak asymptotics method

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 solutions (35C08)

Related Items (12)

Weak multi-phase asymptotics for nonintegrable equations ⋮ Soliton‐type asymptotics for non‐integrable equations: a survey ⋮ Propagation and interaction of solitons for nonintegrable equations ⋮ An ADER-type scheme for a class of equations arising from the water-wave theory ⋮ Interaction of solitons for sine-Gordon-type equations ⋮ New exact solutions and numerical approximations of the generalized KdV equation ⋮ A finite difference scheme for smooth solutions of the general Degasperis–Procesi equation ⋮ General Degasperis-Procesi equation and its solitary wave solutions ⋮ Multi-soliton Collision for Essentially Nonintegrable Equations ⋮ An implicit pseudospectral scheme to solve propagating fronts in reaction-diffusion equations ⋮ Interaction of solitons and the effect of radiation for the generalized KdV equation ⋮ Collision of Solitons for a Non-homogenous Version of the KdV Equation: Asymptotics and Numerical Simulation

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