Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky \(K(\cos)\) equation

DOI10.1016/j.cnsns.2012.10.016zbMath1277.65077arXiv1208.3514OpenAlexW2145130096MaRDI QIDQ375600

Francisco R. Villatoro, Francisco Rus, Julio Garralón

Publication date: 31 October 2013

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

Full work available at URL: https://arxiv.org/abs/1208.3514

zbMATH Keywords

artificial viscositynumerical examplesPadé approximantsmethod of linescompactonscompact travelling waveskovatonsRosenau-Pikovsky \(K(\cos)\) equationsolitary wave interactions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Padé approximation (41A21) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

New compacton solutions of an extended Rosenau-Pikovsky equation ⋮ Compactons and Riemann waves of an extended modified Korteweg-de Vries equation with nonlinear dispersion ⋮ Compacton solutions of the Korteweg-de Vries equation with constrained nonlinear dispersion ⋮ Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity

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