Soliton interactions of the kadomtsev-petviashvili equation and generation of large-amplitude water waves

G. Biondini, K. I. Maruno, M. Oikawa, H. Tsuji

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Abstract

We study the maximum wave amplitude produced by line-soliton interactions of the Kadomtsev-Petviashvili II (KPII) equation, and we discuss a mechanism of generation of large amplitude shallow water waves by multi-soliton interactions of KPII. We also describe a method to predict the possible maximum wave amplitude from asymptotic data. Finally, we report on numerical simulations of multi-soliton complexes of the KPII equation which verify the robustness of all types of soliton interactions and web-like structure.

Original languageEnglish
Pages (from-to)377-394
Number of pages18
JournalStudies in Applied Mathematics
Volume122
Issue number4
DOIs
Publication statusPublished - 2009 May 1

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ASJC Scopus subject areas

  • Applied Mathematics

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