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Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients

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Abstract

In this paper, a variable-coefficient symbolic computation approach is proposed to solve the multiple rogue wave solutions of nonlinear equation with variable coefficients. As an application, a (\(2+1\))-dimensional variable-coefficient Kadomtsev–Petviashvili equation is investigated. The multiple rogue wave solutions are obtained and their dynamic features are shown in some 3D and contour plots.

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Authors and Affiliations

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

    Jian-Guo Liu & Yan He

  2. School of science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jian-Guo Liu

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

    Wen-Hui Zhu

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

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Project supported by National Natural Science Foundation of China (Grant No 81960715)

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Liu, JG., Zhu, WH. & He, Y. Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients. Z. Angew. Math. Phys. 72, 154 (2021). https://doi.org/10.1007/s00033-021-01584-w

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  • DOI: https://doi.org/10.1007/s00033-021-01584-w

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