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Dynamic properties of interactional solutions for the (4 + 1)-dimensional Fokas equation

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Abstract

In this paper, based on the bilinear form, we give multi-solitary wave solutions of the \((4+1)\)-dimensional Fokas equation. From the obtained multi-solitary wave solutions, with special parameters, we derive resonant solutions of N-solitary waves. For complex conjugate parameters, we analyze interactions of two periodic waves, interactions of a solitary wave and a periodic wave by making use of their phase shifts. Particularly, the intermediate processes of elastic interactions are analyzed in detail, and interesting fusional and fissionable phenomena are found. The asymptotic interactional behaviors for these solutions are analyzed theoretically and illustrated graphically.

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Acknowledgements

The work described in this paper was supported by National Natural Science Foundation of China (11801368).

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  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, People’s Republic of China

    Ai-Hua Chen, Jie Yan & Ya-Ru Guo

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  1. Ai-Hua Chen
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  2. Jie Yan
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Correspondence to Ai-Hua Chen.

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Chen, AH., Yan, J. & Guo, YR. Dynamic properties of interactional solutions for the (4 + 1)-dimensional Fokas equation. Nonlinear Dyn 105, 3489–3502 (2021). https://doi.org/10.1007/s11071-021-06789-2

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