Integrable discretizations of derivative nonlinear Schroedinger equations

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dc.creatorTsuchida, Takayuki
dc.date2001-05-24
dc.date2002-08-28
dc.date.accessioned2026-07-07T10:54:22Z
dc.date.available2026-07-07T10:54:22Z
dc.descriptionWe propose integrable discretizations of derivative nonlinear Schroedinger (DNLS) equations such as the Kaup-Newell equation, the Chen-Lee-Liu equation and the Gerdjikov-Ivanov equation by constructing Lax pairs. The discrete DNLS systems admit the reduction of complex conjugation between two dependent variables and possess bi-Hamiltonian structure. Through transformations of variables and reductions, we obtain novel integrable discretizations of the nonlinear Schroedinger (NLS), modified KdV (mKdV), mixed NLS, matrix NLS, matrix KdV, matrix mKdV, coupled NLS, coupled Hirota, coupled Sasa-Satsuma and Burgers equations. We also discuss integrable discretizations of the sine-Gordon equation, the massive Thirring model and their generalizations.
dc.description24 pages, LaTeX2e (IOP style), final version
dc.identifierhttps://arxiv.org/abs/nlin/0105053
dc.identifierhttp://arxiv.org/abs/nlin/0105053
dc.identifierJ.Phys.A35:7827,2002
dc.identifierdoi:10.1088/0305-4470/35/36/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185779
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleIntegrable discretizations of derivative nonlinear Schroedinger equations
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