The Nonlinear Schroedinger equation: solitons dynamics

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dc.creatorBenci, V.
dc.creatorGhimenti, M.
dc.creatorMicheletti, A. M.
dc.date2008-12-22
dc.date.accessioned2026-07-07T12:21:12Z
dc.date.available2026-07-07T12:21:12Z
dc.descriptionIn this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h->0. We prove that under suitable assumptions, the the soliton approximately follows the dynamics of a point particle, namely, the motion of its barycenter $q_h(t)$ satisfies the equation $ddot{q}_h(t)+\nabla V(q_h(t))=H_h(t)$ where $\sup_{t\in R} |H_h(t)| -> 0$ as h->0.
dc.identifierhttps://arxiv.org/abs/0812.4152
dc.identifierhttp://arxiv.org/abs/0812.4152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213293
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35Q55, 35Q51, 37K40, 37K45, 47J35
dc.titleThe Nonlinear Schroedinger equation: solitons dynamics
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