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

2009/03/30 by Gino Biondini, Biondini, Gino, Ken‐ichi Maruno +5
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0903.5279

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.

Citations

• Soliton solutions of the KP equation and application to shallow water waves

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