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Soviet Physics Journal

, Volume 22, Issue 9, pp 948–951 | Cite as

Particle stability in nonlinear scalar field theory

  • Adzhit Kumar
Article
  • 19 Downloads

Abstract

Using the direct Lyapunov method for distributed systems, the problem of stability of particlelike solutions of the equation of a scalar field with logarithmic nolinearity is solved. It is shown that nonlinearities of the Heaviside function type, which ensure the existence of exact regular solutions for the Klein-Gordon equation, are not a very fruitful approach because of the mathematical difficulties encountered in studying the stability of such solutions.

Keywords

Field Theory Scalar Field Regular Solution Function Type Heaviside Function 
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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Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • Adzhit Kumar
    • 1
  1. 1.Patrice Lumumba International Friendship UniversityMoscow

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