English

Dressing for a novel integrable generalization of the nonlinear Schr\"odinger equation

Exactly Solvable and Integrable Systems 2010-05-12 v2 Pattern Formation and Solitons

Abstract

We implement the dressing method for a novel integrable generalization of the nonlinear Schr\"odinger equation. As an application, explicit formulas for the NN-soliton solutions are derived. As a by-product of the analysis, we find a simplification of the formulas for the NN-solitons of the derivative nonlinear Schr\"odinger equation given by Huang and Chen.

Keywords

Cite

@article{arxiv.0909.3021,
  title  = {Dressing for a novel integrable generalization of the nonlinear Schr\"odinger equation},
  author = {Jonatan Lenells},
  journal= {arXiv preprint arXiv:0909.3021},
  year   = {2010}
}

Comments

12 pages, minor changes made