Periodic and chaotic behaviour in a reduced form of the perturbed generalized Korteweg-de Vries and Kadomtsev-Petviashvili equations

DOI10.1016/S0167-2789(98)00242-5zbMath0934.35150OpenAlexW2019216348MaRDI QIDQ1808377

K. Djidjeli, E. H. Twizell, W. G. Price, Qing-jie Cao

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00242-5

zbMATH Keywords

chaotic behaviourRunge-Kutta methodKorteweg-de Vries equationMelnikov functionKadomtsev-Petviashvili 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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