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Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension

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Abstract

In this paper, we present a new (4+1)-dimensional nonlinear evolution equation. We first verify its Painlevé integrability by the WTC–Kruskal method, then multiwave interaction solutions for this new equation are investigated by different approaches. It can be seen that this equation has very rich interaction wave solutions.

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ACKNOWLEDGMENTS

The work is supported by the National Natural Science Foundation of China (no. 11871328) and is supported in part by Science and Technology Commission of Shanghai Municipality (no. 22DZ2229014).

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Authors and Affiliations

  1. East China Normal University (ECNU), 200241, Shanghai, China

    Y. Yang

  2. East China Normal University (ECNU), Shanghai Key Laboratory of PMMP, 200241, Shanghai, China

    Y. P. Liu

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  1. Y. Yang
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  2. Y. P. Liu
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Correspondence to Y. Yang or Y. P. Liu.

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Yang, Y., Liu, Y.P. Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension. Comput. Math. and Math. Phys. 63, 794–807 (2023). https://doi.org/10.1134/S0965542523050184

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  • DOI: https://doi.org/10.1134/S0965542523050184

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