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.
Autori interni: | ||
Autori: | BONANNO C. | |
Titolo: | Long time dynamics of highly concentrated solitary waves for the nonlinear Schroedinger equation | |
Anno del prodotto: | 2015 | |
Digital Object Identifier (DOI): | 10.1016/j.jde.2014.10.002 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.