Factorization of the nonlinear Schroedinger equation and applications

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dc.creatorBernstein, Swanhild
dc.date2005-09-01
dc.date.accessioned2026-07-07T05:22:53Z
dc.date.available2026-07-07T05:22:53Z
dc.descriptionWe consider factorizations of the stationary and non-stationary Schroedinger equation in R^n which are based on appropriate Dirac operators. These factorizations lead to a Miura transform which is an analogue of the classical one-dimensional Miura transform but also closely related to the Riccati equation. In fact, the Miura transform is a nonlinear Dirac equation. We give an iterative procedure which is based on fix-point principles to solve this nonlinear Dirac equation. The relationship to nonlinear Schroedinger equations like the Gross-Pitaevskii equation are highlighted.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0509018
dc.identifierhttp://arxiv.org/abs/math/0509018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76231
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.subject30G35; 35J10; 35F30; 35Q55
dc.titleFactorization of the nonlinear Schroedinger equation and applications
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