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

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dc.creatorSakovich, S. Yu.
dc.creatorTsuchida, Takayuki
dc.date2000-06-05
dc.date2000-09-19
dc.date.accessioned2026-07-07T05:32:52Z
dc.date.available2026-07-07T05:32:52Z
dc.descriptionThe 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.
dc.description12 pages, LaTeX2e, IOP style, final version, to appear in J.Phys.A:Math.Gen
dc.identifierhttps://arxiv.org/abs/nlin/0006004
dc.identifierhttp://arxiv.org/abs/nlin/0006004
dc.identifierJ. Phys. A: Math. Gen. 33 (2000) 7217-7226
dc.identifierdoi:10.1088/0305-4470/33/40/316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79814
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectOptics
dc.titleSymmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
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