Advertisement

Perturbation Theory of the Double Sine-Gordon Equation

  • P. W. Kitchenside
  • A. L. Mason
  • R. K. Bullough
  • P. J. Caudrey
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 8)

Abstract

A general perturbation theory has recently been developed by KAUP and NEWELL [1] for dealing with almost completely integrable nonlinear partial differential equations, for which conventional inverse scattering transform (IST) techniques are inapplicable. One such equation is the double sine-Gordon equation (DSGE).

Keywords

Reflection Coefficient Rest Frame Nonlinear Partial Differential Equation Oscillatory Regime Singular Perturbation Theory 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D.J. Kaup, A.C. Newell: “Solitons as Particles, Oscillators and in Slowly-Varying Media: A Singular Perturbation Theory”, Proc. Roy. Soc. (London, 1978) (to be published)Google Scholar
  2. 2.
    S. Duckworth: Ph.D. Thesis, University of Manchester (1976)Google Scholar
  3. 3.
    A.L. Mason: In Proc. of the NATO Advanced Study Inst., “Nonlinear Equations in Physics and Mathematics”, ed. by A.O. Barut (Istanbul, August 1977) (to be published)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • P. W. Kitchenside
    • 1
  • A. L. Mason
    • 1
  • R. K. Bullough
    • 1
  • P. J. Caudrey
    • 1
  1. 1.Department of MathematicsU.M.I.S.T.ManchesterGreat Britain

Personalised recommendations