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Journal of Applied Mechanics and Technical Physics

, Volume 15, Issue 5, pp 628–631 | Cite as

Damping of steady-state waves in systems described by a nonlinear Klein-Gordon equation

  • E. N. Pelinovskii
  • S. Kh. Shavratskii
Article
  • 27 Downloads

Abstract

The damping of a nonsinusoidal wave in systems described by a Klein-Gordon equation is investigated by the method of averaging. An explicit solution is given for an initial-value problem. It is shown that in certain cases the prolonged existence of a steady-state wave is impossible. Dissipation can lead to the damping out of the wave. The characteristic features of the boundary-value problem are discussed. Formulas are obtained describing the damping of single pulses (solitons).

Keywords

Mathematical Modeling Mechanical Engineer Soliton Characteristic Feature Industrial Mathematic 
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 1976

Authors and Affiliations

  • E. N. Pelinovskii
    • 1
  • S. Kh. Shavratskii
    • 1
  1. 1.Gor'kii

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