Conservation laws and non-decaying solutions for the Benney–Luke equation

DOI10.1098/rspa.2012.0690zbMath1320.76018arXiv1212.0149OpenAlexW3098403570MaRDI QIDQ4921899

Christopher W. Curtis, Mark J. Ablowitz

Publication date: 28 May 2013

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0149

zbMATH Keywords

nonlinear wavesconservation lawsasymptoticsKadomtsev-Petviashvili equationBenney-Luke equationweb solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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• Fourth-Order Time-Stepping for Stiff PDEs
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