Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations

Abstract : Some effects of surface tension on fully-nonlinear, long, surface water waves are studied by numerical means. The differences between various solitary waves and their interactions in subcritical and supercritical surface tension regimes are presented. Analytical expressions for new peaked travelling wave solutions are presented in the case of critical surface tension. The numerical experiments were performed using a high-accurate finite element method based on smooth cubic splines and the four-stage, classical, explicit Runge-Kutta method of order four.
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Contributeur : Denys Dutykh <>
Soumis le : samedi 11 février 2017 - 21:46:21
Dernière modification le : jeudi 16 février 2017 - 01:03:31
Document(s) archivé(s) le : vendredi 12 mai 2017 - 13:01:13

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Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales 4.0 International License

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  • HAL Id : hal-01465356, version 1
  • ARXIV : 1702.03768

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Denys Dutykh, Mark Hoefer, Dimitrios Mitsotakis. Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations. 37 pages, 25 figures, 1 table, 39 references. Other author's papers can be downloaded at http://w.. 2017. 〈hal-01465356〉

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