Dynamics of Nonlinear Schrodinger / Gross-Pitaevskii Equations; Mass Transfer in Systems with Solitons and Degenerate Neutral Modes

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dc.creatorGang, Zhou
dc.creatorWeinstein, Michael
dc.date2008-11-03
dc.date.accessioned2026-07-07T10:15:11Z
dc.date.available2026-07-07T10:15:11Z
dc.descriptionNonlinear Schrodinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such systems is governed by interactions of the nonlinear ground state manifold, discrete neutral modes (``excited states'') and dispersive radiation. Systems with symmetry, in spatial dimensions larger than one, typically have degenerate neutral modes. Thus, we study the large time dynamics of systems with degenerate neutral modes. This requires a new normal form (nonlinear matrix Fermi Golden Rule) governing the system's large time asymptotic relaxation to the ground state (soliton) manifold.
dc.descriptionTo appear in Analysis and PDE
dc.identifierhttps://arxiv.org/abs/0811.0261
dc.identifierhttp://arxiv.org/abs/0811.0261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173095
dc.subjectMathematical Physics
dc.subjectPattern Formation and Solitons
dc.subject35Q55; 37K40
dc.titleDynamics of Nonlinear Schrodinger / Gross-Pitaevskii Equations; Mass Transfer in Systems with Solitons and Degenerate Neutral Modes
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