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The mixed solutions for soliton–breather–lump in the (3+1)-dimensional nonlinear evolution equation

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Abstract

In this paper, a (3+1)-dimensional nonlinear evolution equation is studied. By the methods of the Hirota bilinear method and the long wave limit approach, solutions with regard to this equation have been found as soliton solutions, breather solutions, lump solutions and the mixed solutions. In order to have a better understanding about the nonlinear phenomena of this equation, we display various pictures for all kinds of solutions in this paper.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11861050, 11261037), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2020LH01010), and the Inner Mongolia Normal University Graduate Students Research and Innovation Fund (Grant No. CXJJS21119).

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Authors and Affiliations

  1. College of Mathematics Science, Inner Mongolia Normal University, Hohhot, 010022, People’s Republic of China

    Wei Shi &  Zhaqilao

  2. Center for Applied Mathematical Science, Inner Mongolia Normal University, Hohhot, 010022, People’s Republic of China

    Wei Shi &  Zhaqilao

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  1. Wei Shi
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  2. Zhaqilao
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Correspondence to Zhaqilao.

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Shi, W., Zhaqilao The mixed solutions for soliton–breather–lump in the (3+1)-dimensional nonlinear evolution equation. Eur. Phys. J. Plus 137, 435 (2022). https://doi.org/10.1140/epjp/s13360-022-02643-5

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