Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude water waves
نویسندگان
چکیده
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.
منابع مشابه
On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
governs the dynamics of solitary waves. Firstly, it was derived to describe shallowwater waves of long wavelength and small amplitude. It is a crucial equation in the theory of integrable systems because it has infinite number of conservation laws, gives multiple-soliton solutions, and has many other physical properties. See, for example, [2] and references therein. An essential extension of th...
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