Numerical behaviour of stable and unstable solitary waves

DOI10.1016/S0168-9274(01)00144-1zbMath1002.65134OpenAlexW2034086080MaRDI QIDQ1612450

A. Durán, M. A. López-Marcos

Publication date: 22 August 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00144-1

zbMATH Keywords

stabilityrelative equilibriasolitary waveserror propagationRunge-Kutta methodsHamiltonian systemgeometric integrationFourier pseudospectral methodgeneralised Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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