English

Multisoliton solutions and integrability aspects of coupled nonlinear Schrodinger equations

Exactly Solvable and Integrable Systems 2009-10-31 v1

Abstract

Using Painleve singularity structure analysis, we show that coupled higher-order nonlinear Schrodinger (CHNLS) equations admit Painleve property. Using the results of Painleve analysis, we succeed in Hirota bilinearizing the CHNLS equations, one soliton and two soliton solutions are explictly obtained. Lax pairs are explictly constructed.

Keywords

Cite

@article{arxiv.nlin/0008042,
  title  = {Multisoliton solutions and integrability aspects of coupled nonlinear Schrodinger equations},
  author = {M. N. Vinoj and V. C. Kuriakose},
  journal= {arXiv preprint arXiv:nlin/0008042},
  year   = {2009}
}

Comments

Eight pages and six figures. Physical Review E (to be appear)