English

Multi-wave, breather wave and lump solutions of the Boiti-Leon-Manna-Pempinelli equation with variable coefficients

Pattern Formation and Solitons 2020-10-27 v2 Exactly Solvable and Integrable Systems

Abstract

In this paper, a variable-coefficient Boiti-Leon-Manna-Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three waves method, the homoclinic breather approach and the Hirota's bilinear method. All solutions have been verified to be correct with the help of Mathematica software. We study the propagation characteristics of these solutions by some three-dimensional images. The obtained results are useful for understanding fluid propagating and incompressible fluid.

Keywords

Cite

@article{arxiv.1911.04874,
  title  = {Multi-wave, breather wave and lump solutions of the Boiti-Leon-Manna-Pempinelli equation with variable coefficients},
  author = {Jian-Guo Liu and Wang-Ping Xiong},
  journal= {arXiv preprint arXiv:1911.04874},
  year   = {2020}
}

Comments

13pages,21figures