A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models

DOI10.1016/j.cam.2010.07.015zbMath1209.65098OpenAlexW1986358756MaRDI QIDQ629402

A. Durán, Jorge Alvarez

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.07.015

zbMATH Keywords

numerical examplesconservative methodsKorteweg-de Vries equationprojection methodsconserved quantitiesperiodic travelling wavesFourier pseudospectral methodnonlinear dispersive wave equationsPetviashvili's method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) First-order nonlinear hyperbolic equations (35L60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems ⋮ Numerical detection and generation of solitary waves for a nonlinear wave equation ⋮ A self-adjusting algorithm for solitary wave simulations

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