Soviet Physics Journal

, Volume 24, Issue 1, pp 53–56 | Cite as

Lyapunov stability of scalar charged solitons

  • A. Kumar
  • V. P. Nisichenko
  • Yu. P. Rybakov


The direct Lyapunov method is used to investigate the stability of charged solitons of pulson type described by a relativistic complex scalar field in a model of general form. It is shown that the stability can only be conditional. Some necessary and sufficient conditions for stability of stationary solitons for a fixed charge are formulated. Examples of models with power-law and logarithmic nonlinearities are considered.


Soliton Scalar Field Complex Scalar Lyapunov Stability Fixed Charge 
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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • A. Kumar
    • 1
  • V. P. Nisichenko
    • 1
  • Yu. P. Rybakov
    • 1
  1. 1.Patrice Lumumba Friendship of Nations UniversityMoscow

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