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Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev–Petviashvili equation in fluid mechanics

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Abstract

Constructing solutions to the extended (2+1)-dimensional Kadomtsev–Petviashvili equation is the major goal of this article, which includes resonance solutions, rational solutions, breather solutions, and various hybrid solutions. The main approaches are conjugate complex method, long-wave limit method, and introducing new restrictive conditions. We are able to better explain the complex dynamical behavior by plotting the images of the solutions (fusion, fission, and collision phenomena, trajectory changes, etc.) and facilitate to help in the study of fluid mechanics.

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Authors and Affiliations

  1. Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

    Hongcai Ma, Xue Mao & Aiping Deng

  2. Institute for Nonlinear Sciences, Donghua University, Shanghai, 201620, China

    Hongcai Ma, Xue Mao & Aiping Deng

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  2. Xue Mao
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Ma, H., Mao, X. & Deng, A. Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev–Petviashvili equation in fluid mechanics. Nonlinear Dyn 111, 13439–13455 (2023). https://doi.org/10.1007/s11071-023-08569-6

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