This article is cited in 1 paper

NONLINEAR DYNAMICS

Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation

Yu. N. Ovchinnikov^ab, V. L. Vereshchagin<sup>c

a</sup> L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b Max Planck Institute for the Physics of Complex Systems
^c Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa

Abstract: The generic asymptotic behavior of a three-parameter weakly collapsing solution of a nonlinear Schrödinger equation is examined. A discrete set of zero-energy states is shown to exist. In the $(\mathrm A, C_1)$ parameter space, there are two close lines along which the amplitude of oscillating terms is exponentially small in the parameter $C_1$.

PACS: 02.30.Jr, 03.65.Ge

Received: 21.06.2001

 English version: Journal of Experimental and Theoretical Physics Letters, 2001, 74:2, 72–76

Bibliographic databases:

•