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Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid mechanics

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Abstract

In this paper, a (4+1)-dimensional Kadomtsev–Petviashvili equation with variable coefficients in fluid mechanics is investigated. Based on the improved positive quadratic function method, the lump, lump-soliton and rogue-soliton solutions are obtained. The interaction between lump wave and periodic wave is studied. Further, the breather wave solutions are presented. The nonlinear dynamics for different nonautonomous wave structures solutions are described in 3D and contour plots.

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Funding

Project supported by National Natural Science Foundation of China (Grant No 12161048), Doctoral Research Foundation of Jiangxi University of Chinese Medicine (Grant No 2021WBZR007) and Development Plan of University Level Scientific and Technological Innovation Team of Jiangxi University of Chinese Medicine.

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Authors and Affiliations

  1. Institute of artificial intelligence, Nanchang Institute of Science and Technology, Jiangxi, 330108, China

    Wen-Hui Zhu & Fei-Yan Liu

  2. College of Computer, Jiangxi University of Chinese Medicine, Jiangxi, 330004, China

    Jian-Guo Liu

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  1. Wen-Hui Zhu
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  2. Fei-Yan Liu
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Correspondence to Jian-Guo Liu.

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Zhu, WH., Liu, FY. & Liu, JG. Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid mechanics. Nonlinear Dyn 108, 4171–4180 (2022). https://doi.org/10.1007/s11071-022-07437-z

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  • DOI: https://doi.org/10.1007/s11071-022-07437-z

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