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Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

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Abstract To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves… Click to show full abstract

Abstract To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method together with the inheritance solving skill. Moreover, a new algorithm is proposed with the aid of the simplified Hirota method, the conjugated parameters assignment and long wave limit strategies, from which multiwave interaction solutions among solitons, breathers and lump waves are generated.

Keywords: solutions dimensional; generalized kadomtsev; interaction solutions; kadomtsev petviashvili; dimensional generalized; multiwave interaction

Journal Title: Chinese Journal of Physics
Year Published: 2021

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