English

Complex version KdV equation and the periods solution

Chaotic Dynamics 2007-05-23 v1 Exactly Solvable and Integrable Systems

Abstract

In this paper, the complex version KdV equation is discussed. The corresponding coupled equations is a integrable system in the sense of the bi-Hamiltonian structure, so the complex version KdV equation is integrable. A new spectral form is given, the periodic solution of the complex version KdV equation is obtained. It is showed that the periodic solution is the classical solution.

Keywords

Cite

@article{arxiv.nlin/0108027,
  title  = {Complex version KdV equation and the periods solution},
  author = {Yang Lei and Yang Kongqing and Luo Honggang},
  journal= {arXiv preprint arXiv:nlin/0108027},
  year   = {2007}
}