Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
S. Yu. Sakovich, Takayuki Tsuchida
Abstract
The integrability of a system of two symmetrically coupled higher-order nonlinear Schrödinger equations with parameter coefficients is tested by means of the singularity analysis. It is proven that the system passes the Painlevé 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.
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