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).
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References
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)
S. Duckworth: Ph.D. Thesis, University of Manchester (1976)
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)
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© 1978 Springer-Verlag Berlin Heidelberg
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Kitchenside, P.W., Mason, A.L., Bullough, R.K., Caudrey, P.J. (1978). Perturbation Theory of the Double Sine-Gordon Equation. In: Bishop, A.R., Schneider, T. (eds) Solitons and Condensed Matter Physics. Springer Series in Solid-State Sciences, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81291-0_5
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DOI: https://doi.org/10.1007/978-3-642-81291-0_5
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