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

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

研究成果: Article査読

16 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)377-394
ページ数18
ジャーナルStudies in Applied Mathematics
122
4
DOI
出版ステータスPublished - 2009 5 1
外部発表はい

ASJC Scopus subject areas

  • Applied Mathematics

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