On integrability of variable coefficient nonlinear Schrodinger equations
Exactly Solvable and Integrable Systems
2015-03-14 v4
Abstract
We apply Painlev\'e test to the most general variable coefficient nonlinear Schrodinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by the use of other tools like group-theoretical approach and the Lax pairs technique of the soliton theory. We present explicit transformation formulae that can be used to generate new analytic solutions of VCNLS equations from those of the integrable NLS equation.
Cite
@article{arxiv.1004.0852,
title = {On integrability of variable coefficient nonlinear Schrodinger equations},
author = {Cihangir Ozemir and Faruk Gungor},
journal= {arXiv preprint arXiv:1004.0852},
year = {2015}
}
Comments
20 pages