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Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation

  • Nonlinear Dynamics
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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 (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.

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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 74, No. 2, 2001, pp. 76–80.

Original Russian Text Copyright © 2001 by Ovchinnikov, Vereshchagin.

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Ovchinnikov, Y.N., Vereshchagin, V.L. Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation. Jetp Lett. 74, 72–76 (2001). https://doi.org/10.1134/1.1405887

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  • DOI: https://doi.org/10.1134/1.1405887

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