On Soliton Dynamics in Nonlinear Schrodinger Equations
数学物理
2007-05-23 v1 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0603059,
title = {On Soliton Dynamics in Nonlinear Schrodinger Equations},
author = {Zhou Gang and I. M. Sigal},
journal= {arXiv preprint arXiv:math-ph/0603059},
year = {2007}
}
备注
14 pages. to appear in Geometric and Functional Analysis