English

Darboux Transformation for the Non-stationary Shr\"odinger Equation

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

The Lax representation for the nonstationary Schr\"odinger equation with rather arbitrary potential is proposed. Some examples of the construction of exact solutions are given by means of Darboux Transformation method.

Keywords

Cite

@article{arxiv.nlin/0507013,
  title  = {Darboux Transformation for the Non-stationary Shr\"odinger Equation},
  author = {E. Sh. Gutshabash},
  journal= {arXiv preprint arXiv:nlin/0507013},
  year   = {2007}
}