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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:258

Article

Bonanno, Claudio

关键词: Solitary waves dynamics;    Singular potential;    Effective Hamiltonian;   

DOI  :  10.1016/j.jde.2014.10.002

来源: Elsevier

【 摘 要 】

In this paper we study the behavior of solutions of a nonlinear Schrodinger 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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free