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arXiv:1312.5463 [math.AP]AbstractReferencesReviewsResources

Long time dynamics of highly concentrated solitary waves for the nonlinear Schroedinger equation

Claudio Bonanno

Published 2013-12-19Version 1

In this paper we study the behavior of solutions of a nonlinear Schroedinger equation in presence of an external potential, which is allowed to be singular at one point. We show that the solution behaves like a solitary wave for long time even if we start from a unstable solitary wave, and its dynamics coincide with that of a classical particle evolving according to a natural effective Hamiltonian.

Comments: 13 pages
Categories: math.AP, math-ph, math.MP
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