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Three-wave interactions in a more general (2+1)-dimensional Boussinesq equation

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Abstract

A more general (2+1)-dimensional Boussinesq equation with five arbitrary constants is studied. Multi-soliton solution, multi-breather solution, higher-order lump solution are obtained by employing the Hirota bilinear method and the long-wave limit approach. By selecting suitable value of parameters, the interaction mixed solutions are constructed, which are composed of three waves for lumps, breathers and solitons. Some novel dynamical processes are shown by figures.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11861050, 11261037), the National Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2020LH01010) and Inner Mongolia Normal University Graduate Students’ Research and Innovation Fund (Grant No. CXJJS19099).

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Authors and Affiliations

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

    Dan Zhao &  Zhaqilao

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  1. Dan Zhao
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  2. Zhaqilao
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Correspondence to Zhaqilao.

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Zhao, D., Zhaqilao Three-wave interactions in a more general (2+1)-dimensional Boussinesq equation. Eur. Phys. J. Plus 135, 617 (2020). https://doi.org/10.1140/epjp/s13360-020-00629-9

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