Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability

Details Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability

2000-06-05

arxiv.org/abs/nlin/0006004v2

J. Phys. A: Math. Gen. 33 (2000) 7217-7226

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, LaTeX2e, IOP style, final version, to appear in J.Phys.A:Math.Gen

Scientific paper

10.1088/0305-4470/33/40/316

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.

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