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New breather wave and interaction solutions of the generalized (\(2+1\))-dimensional variable-coefficient shallow water wave equation

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Abstract

In this work, a generalized (\(2+1\))-dimensional variable-coefficient shallow water wave equation is investigated, which describes the interaction between Riemann waves propagating along the y-axis and long waves propagating along the x-axis in a fluid. Based on the Hirota bilinear form and three-wave method, the breather wave solution is obtained. The interaction solutions between lump wave and periodic wave are presented. The interaction solutions between lump wave and solitary waves are also studied. None of these obtained solutions have been found in other literature.

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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 Jiangxi University of Chinese Medicine Science and Technology Innovation Team Development Program (Grant No. CXTD22015).

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Authors and Affiliations

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

    Jian-Guo Liu

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

    Wen-Hui Zhu

  3. School of science, Jiujiang University, Jiangxi, 332005, China

    Ya-Kui Wu

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  1. Jian-Guo Liu
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  2. Wen-Hui Zhu
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  3. Ya-Kui Wu
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Correspondence to Jian-Guo Liu or Wen-Hui Zhu.

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Liu, JG., Zhu, WH. & Wu, YK. New breather wave and interaction solutions of the generalized (\(2+1\))-dimensional variable-coefficient shallow water wave equation. Nonlinear Dyn 111, 16441–16447 (2023). https://doi.org/10.1007/s11071-023-08710-5

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  • DOI: https://doi.org/10.1007/s11071-023-08710-5

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