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

Soliton 

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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

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