English

Line-soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar-problem

Exactly Solvable and Integrable Systems 2017-05-02 v2

Abstract

We present a generalized (2+1)-dimensional Boussinesq equation, including two cases which are called the plus Boussinesq equation and the minus one. To investigate these equations, we apply the ˉ\bar{\partial} approach to a coupled (2+1)-dimensional nonlinear equation, which reduces to the Boussinesq equation. For the plus equation, we give the line-solitons and rational solutions, for the minus one, we give some freak solutions.

Keywords

Cite

@article{arxiv.1704.02779,
  title  = {Line-soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar-problem},
  author = {Junyi Zhu},
  journal= {arXiv preprint arXiv:1704.02779},
  year   = {2017}
}

Comments

14 pages,19 figures