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Soliton Interactions of the Kadomtsev-Petviashvili Equation and Generation of Large-Amplitude Water Waves

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

Studies in applied mathematics (Cambridge), 2009-05, Vol.122 (4), p.377-394 [Periódico revisado por pares]

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Título:
Soliton Interactions of the Kadomtsev-Petviashvili Equation and Generation of Large-Amplitude Water Waves
Autor: Biondini, G. ; Maruno, K.-I. ; Oikawa, M. ; Tsuji, H.
Assuntos: Mathematics ; Studies ; Water waves
É parte de: Studies in applied mathematics (Cambridge), 2009-05, Vol.122 (4), p.377-394
Notas: ark:/67375/WNG-CSC9GVTT-H
ArticleID:SAPM439
istex:7248F8FEE35253F533C214C5964C1F03038ADAAD
Descrição: 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.
Editor: Malden, USA: Blackwell Publishing Inc
Idioma: Inglês

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