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Ukrainian Mathematical Journal

, Volume 43, Issue 6, pp 768–775 | Cite as

Qualitative analysis of families of bounded solutions of the multidimensional nonlinear Schrödinger equation

  • V. I. Fushchich
  • I. O. Parasyuk
Article
  • 20 Downloads

Abstract

The existence of families of bounded (with respect to space variables) solutions of the multidimensional nonlinear Schrödinger equation is established and also their asymptotic properties are studied. The investigation consists of two steps. At first, the initial equation is reduced with the help of ansatzes of special form to a system of ordinary differential equations, and then qualitative analysis of each equation of this system is carried out.

Keywords

Differential Equation Qualitative Analysis Ordinary Differential Equation Special Form Asymptotic Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • V. I. Fushchich
    • 1
  • I. O. Parasyuk
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRKiev

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