Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
Exactly Solvable and Integrable Systems
2007-05-23 v2 Mathematical Physics
Analysis of PDEs
math.MP
Optics
Abstract
The integrability of a system of two symmetrically coupled higher-order nonlinear Schr\"{o}dinger equations with parameter coefficients is tested by means of the singularity analysis. It is proven that the system passes the Painlev\'{e} test for integrability only in ten distinct cases, of which two are new. For one of the new cases, a Lax pair and a multi-field generalization are obtained; for the other one, the equations of the system are uncoupled by a nonlinear transformation.
Cite
@article{arxiv.nlin/0006004,
title = {Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability},
author = {S. Yu. Sakovich and Takayuki Tsuchida},
journal= {arXiv preprint arXiv:nlin/0006004},
year = {2007}
}
Comments
12 pages, LaTeX2e, IOP style, final version, to appear in J.Phys.A:Math.Gen