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

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

doi:10.1111/j.1467-9590.2009.00439.x

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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 language	English
Pages (from-to)	377-394
Number of pages	18
Journal	Studies in Applied Mathematics
Volume	122
Issue number	4
DOIs	https://doi.org/10.1111/j.1467-9590.2009.00439.x
State	Published - May 2009

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10.1111/j.1467-9590.2009.00439.x

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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.",

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AU - Biondini, G.

AU - Maruno, K. I.

AU - Oikawa, M.

AU - Tsuji, H.

PY - 2009/5

Y1 - 2009/5

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/65449180654

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DO - 10.1111/j.1467-9590.2009.00439.x

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EP - 394

JO - Studies in Applied Mathematics

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ER -

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

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