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arXiv:1002.1295 [math.AP]AbstractReferencesReviewsResources

On the soliton dynamics under slowly varying medium for Nonlinear Schrödinger equations

Claudio Muñoz

Published 2010-02-05, updated 2011-08-09Version 4

We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized, variable-coefficients nonlinear Schr\"odinger equation. We prove existence and uniqueness of new soliton-like solutions for a large class of slowly varying media. Moreover, we describe for all time the behavior of this new generalized soliton solution.

Comments: 49 pages, to appear in Math. Annalen
Categories: math.AP, math-ph, math.MP
Subjects: 35Q51, 35Q53
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