4.5 Article

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

Journal

EUROPEAN PHYSICAL JOURNAL PLUS
Volume 135, Issue 8, Pages -

Publisher

SPRINGER HEIDELBERG
DOI: 10.1140/epjp/s13360-020-00629-9

Keywords

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Funding

  1. National Natural Science Foundation of China [11861050, 11261037]
  2. National Natural Science Foundation of Inner Mongolia Autonomous Region, China [2020LH01010]
  3. Inner Mongolia Normal University Graduate Students' Research and Innovation Fund [CXJJS19099]

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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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