On a new integrable nonlinear Schroedinger equation with a simple external potential and its explicit solutions

Alexander Sakhnovich

On a new integrable nonlinear Schroedinger equation with a simple external potential and its explicit solutions

Exactly Solvable and Integrable Systems 2007-05-23 v1

Authors: Alexander Sakhnovich

Abstract

A nonlinear Schr\"odinger equation with external potential $-(t+b)^{-1}$ is considered and its explicit solutions are constructed.

Keywords

schrödinger equation painlevé equations and orthogonal polynomials differential equations

Cite

@article{arxiv.nlin/0610046,
  title  = {On a new integrable nonlinear Schroedinger equation with a simple external potential and its explicit solutions},
  author = {Alexander Sakhnovich},
  journal= {arXiv preprint arXiv:nlin/0610046},
  year   = {2007}
}