On the asymptotic reduction to the multidimensional nonlinear Schrodinger equation

dc.creatorShakir'yanov, M. M.
dc.date1999-07-02
dc.date.accessioned2026-07-07T04:32:52Z
dc.date.available2026-07-07T04:32:52Z
dc.descriptionThe problem on the asymptotics for the solution of multidimensional nonlinear Boussinesq equation with respect to a small parameter $\ve$ is considered. The asymptotic expansion of the solution of this problem with respect to $\ve\to0$ for long times $t\sim {\cal O}(\ve^{-2})$ is constructed and justified. The leading terms of the asymptotic solution are defined from the multidimensional nonlinear Schrodinger equation and from the linear homogeneous wave equation.
dc.descriptionLatex, 11 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9907003
dc.identifierhttp://arxiv.org/abs/math-ph/9907003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58355
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleOn the asymptotic reduction to the multidimensional nonlinear Schrodinger equation
dc.typetext

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