| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4610297 | Journal of Differential Equations | 2015 | 19 Pages |
Abstract
In this paper we study the behavior of solutions of a nonlinear Schrödinger 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 an unstable solitary wave, and its dynamics coincides with that of a classical particle evolving according to a natural effective Hamiltonian.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Claudio Bonanno,