Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude water waves

Details Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude water waves Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude water waves

2009-03-30

arxiv.org/abs/0903.5279v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages, 11 figures. Stud. Appl. Math. vol. 122 (2009). Editorial production errors in the printed version were corrected. Se

Scientific paper

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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