Solitary Wave Dynamics in an External Potential

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dc.creatorFrohlich, J.
dc.creatorGustafson, S.
dc.creatorJonsson, B. L. G.
dc.creatorSigal, I. M.
dc.date2003-09-23
dc.date.accessioned2026-07-07T04:30:35Z
dc.date.available2026-07-07T04:30:35Z
dc.descriptionWe study the behavior of solitary-wave solutions of some generalized nonlinear Schrödinger equations with an external potential. The equations have the feature that in the absence of the external potential, they have solutions describing inertial motions of stable solitary waves. We construct solutions of the equations with a non-vanishing external potential corresponding to initial conditions close to one of these solitary wave solutions and show that, over a large interval of time, they describe a solitary wave whose center of mass motion is a solution of Newton's equations of motion for a point particle in the given external potential, up to small corrections corresponding to radiation damping.
dc.descriptionlatex2e, 41 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0309053
dc.identifierhttp://arxiv.org/abs/math-ph/0309053
dc.identifierComm. Math. Phys. 250(3) pp.613--642, 2004
dc.identifierdoi:10.1007/s00220-004-1128-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57510
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35Q55;37K40;37K05;70K40
dc.titleSolitary Wave Dynamics in an External Potential
dc.typetext

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