Soliton Stability

  • Vladimir G. Makhankov
Chapter
Part of the Mathematics and Its Applications (Soviet Series) book series (MASS, volume 33)

Abstract

We first define the stability of soliton-like solutions. As has been mentioned above, these describe extremum states of some nonlinear system. There are two types of system stability: (1) with respect to a perturbation of the initial data, and (2) with respect to a perturbation of the evolution equation which describes the system behaviour (the structural stability).

Keywords

Soliton Solution Initial Perturbation Boussinesq Equation Nonlinear Schrodinger Equation Preprint JINR 
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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Vladimir G. Makhankov
    • 1
  1. 1.Laboratory of Computing Techniques and AutomationJoint Institute for Nuclear ResearchMoscowU.S.S.R.

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