Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations

DOI10.1080/10236198.2016.1162161zbMath1472.65112arXiv1510.07765OpenAlexW2963376464MaRDI QIDQ4991993

Brian E. Moore, Fleur McDonald, Gilles Reinout Willem Quispel, Robert I. Mclachlan

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07765

zbMATH Keywords

resonancebackward error analysistravelling wave solutionsemi-linear wave equationfive-point centered difference

Mathematics Subject Classification ID

Wave equation (35L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Finite difference and finite volume methods for ordinary differential equations (65L12) Traveling wave solutions (35C07) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

Discrete conservation laws for finite element discretisations of multisymplectic PDEs ⋮ Backward error analysis for variational discretisations of PDEs ⋮ Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models ⋮ Multisymplecticity of hybridizable discontinuous Galerkin methods ⋮ Locally conservative finite difference schemes for the modified KdV equation

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