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Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation

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Abstract

In this paper, by the direct algebraic method, together with the inheritance solving strategy, new types of interaction solutions among solitons, rational waves and periodic waves are constructed for a (3+1)-dimensional nonlinear evolution equation. Meanwhile, based on the simplified Hirota method, its interaction solutions among solitons, breathers and lumps of any higher orders are established by an N-soliton decomposition algorithm, together with the parameters conjugated assignment and long wave limit techniques. Finally, we demonstrate the dynamical behaviors of new interaction solutions by graphs.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (No. 11871328), Key project of Shanghai Municipal Science and Technology Commission (No. 18511103105), Shanghai Natural Science Foundation(No. 19ZR1414000), and is supported in part by Science and Technology Commission of Shanghai Municipality (No. 18dz2271000).

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, China

    Yinping Liu

  2. School of Mathematical Sciences, East China Normal University, Shanghai, 200241, China

    Wenying Cui

  3. School of Computer Science and Technology, East China Normal University, Shanghai, 200241, China

    Wei Li

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  1. Wenying Cui
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  2. Wei Li
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Correspondence to Yinping Liu.

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Cui, W., Li, W. & Liu, Y. Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation. Nonlinear Dyn 101, 1119–1129 (2020). https://doi.org/10.1007/s11071-020-05809-x

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