English

Stability of Solitary Waves for Three Coupled Long Wave - Short Wave Interaction Equations

Analysis of PDEs 2009-10-07 v1

Abstract

In this paper we consider a three-component system of one dimensional long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions using variational methods.

Keywords

Cite

@article{arxiv.0910.0978,
  title  = {Stability of Solitary Waves for Three Coupled Long Wave - Short Wave Interaction Equations},
  author = {H. Borluk and S. Erbay},
  journal= {arXiv preprint arXiv:0910.0978},
  year   = {2009}
}