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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 74, Issue 2, Pages 76–80
(Mi jetpl4159)
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This article is cited in 1 scientific paper (total in 1 paper)
NONLINEAR DYNAMICS
Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation
Yu. N. Ovchinnikovab, V. L. Vereshchaginc a 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 $C_1$.
Received: 21.06.2001
Citation:
Yu. N. Ovchinnikov, V. L. Vereshchagin, “Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:2 (2001), 76–80; JETP Letters, 74:2 (2001), 72–76
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https://www.mathnet.ru/eng/jetpl4159 https://www.mathnet.ru/eng/jetpl/v74/i2/p76
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Abstract page: | 117 | Full-text PDF : | 40 | References: | 1 |
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