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International Journal of Theoretical Physics

, Volume 35, Issue 12, pp 2489–2499 | Cite as

Solitary waves interacting with an external field

  • T. G. Bodurov
Article

Abstract

It is shown that the equations of a solitary wave interacting with an external field can be obtained from the noninteraction equations and a substitution analogous to the prescription of quantum mechanics for the energy and momentum operators in the presence of an interaction. Next it is shown that, if the rate of change of the external field is sufficiently small, then the motion of the solitary wave as a whole is identical to that of a point charge in an electromagnetic field or to that of a point mass in a given interaction potential. This identity holds regardless of the specific solitary wave equation. An estimate for the external field maximal rate of change is derived.

Keywords

Field Theory Elementary Particle Quantum Field Theory Quantum Mechanic Wave Equation 
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 1996

Authors and Affiliations

  • T. G. Bodurov
    • 1
  1. 1.Eugene

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