Hydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schrödinger equation in the critical case

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dc.creatorRozanova, Olga S.
dc.date2004-12-04
dc.date.accessioned2026-07-07T06:19:39Z
dc.date.available2026-07-07T06:19:39Z
dc.descriptionProceeding from the hydrodynamic approach, we construct exact solutions to nonlinear Schrödinger equation with special properties. The solutions describe collapse, in finite time, and scattering, over infinite time, of wave packets. They generalize known blow-up solutions based on the "ground state."
dc.description11 pages. Proc.Amer.Math.Soc.(in press)
dc.identifierhttps://arxiv.org/abs/math/0412088
dc.identifierhttp://arxiv.org/abs/math/0412088
dc.identifierProc. Amer. Math. Soc. 133 (2005), 2347-2358.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95099
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35K55; 35Q55
dc.titleHydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schrödinger equation in the critical case
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