English

Numerical calculation of N-periodic wave solutions to coupled KdV-type equations

Mathematical Physics 2018-01-17 v2 math.MP Exactly Solvable and Integrable Systems

Abstract

In this paper, we study periodic wave solutions of coupled KdV-type equations. We present a numerical process to calculate the NN-periodic waves based on the direct method of calculating periodic wave solutions proposed by Akira Nakamura. Particularly, in the case of N=1,2,3N=1,2,3, we give some detailed examples to show the N-periodic wave solutions to a coupled Ramani equation.

Keywords

Cite

@article{arxiv.1708.07258,
  title  = {Numerical calculation of N-periodic wave solutions to coupled KdV-type equations},
  author = {Yingnan Zhang and Xingbiao Hu and Jianqing Sun},
  journal= {arXiv preprint arXiv:1708.07258},
  year   = {2018}
}