On Soliton Dynamics in Nonlinear Schrodinger Equations

Details On Soliton Dynamics in Nonlinear Schrodinger Equations On Soliton Dynamics in Nonlinear Schrodinger Equations

2006-03-23

arxiv.org/abs/math-ph/0603059v1

Physics

Mathematical Physics

14 pages. to appear in Geometric and Functional Analysis

Scientific paper

In this paper we announce the result of asymptotic dynamics of solitons of nonlinear Schrodinger equations with external potentials. To each local minima of the potential there is a soliton centered around it. Under some conditions on the nonlinearity, the potential and the datum, we prove that the solution can be decomposed into two parts: the soliton and the term dissipating to infinity.

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