Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation

  • Yu. N. Ovchinnikov
  • V. L. Vereshchagin
Nonlinear Dynamics


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, C1) parameter space, there are two close lines along which the amplitude of oscillating terms is exponentially small in the parameter C1.

PACS numbers

03.65.Ge 02.30.Jr 


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Copyright information

© MAIK "Nauka/Interperiodica" 2001

Authors and Affiliations

  • Yu. N. Ovchinnikov
    • 1
    • 2
  • V. L. Vereshchagin
    • 3
  1. 1.Max-Planck Institute for Physics of Complex SystemsDresdenGermany
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  3. 3.Institute of Mathematics and Computer Center, Ural DivisionRussian Academy of SciencesUfaRussia

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