Soviet Physics Journal

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

Particle stability in nonlinear scalar field theory

  • Adzhit Kumar


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.


Field Theory Scalar Field Regular Solution Function Type Heaviside Function 
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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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