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Exact solution of the perturbed sine-Gordon breather problem

  • Part VI: Mathematical Methods
  • Conference paper
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Nonlinear Coherent Structures in Physics and Biology

Part of the book series: Lecture Notes in Physics ((LNP,volume 393))

Abstract

For the Cauchy problem of a sine-Gordon breather under the action of arbitrary, small perturbations an exact solution in form of quadratures is presented. No application of inverse scattering methods is made. Besides standard methods above all Bäcklund transformations are utilized. The adiabatic approximation originates in an integral form in quite a natural manner. The complete solution allows us to derive expressions for the radiation of energy. Examples for constant external force are considered in more detail.

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Authors and Affiliations

  1. Max-Planck-Institut für Metallforschung, Institut für Physik, Heisenbergstraße 1, D-7000, Stuttgart 80, Germany

    Erich F. Mann

Authors
  1. Erich F. Mann
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M. Remoissenet M. Peyrand

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© 1991 Springer-Verlag

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Mann, E.F. (1991). Exact solution of the perturbed sine-Gordon breather problem. In: Remoissenet, M., Peyrand, M. (eds) Nonlinear Coherent Structures in Physics and Biology. Lecture Notes in Physics, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54890-4_190

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  • DOI: https://doi.org/10.1007/3-540-54890-4_190

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54890-4

  • Online ISBN: 978-3-540-46458-7

  • eBook Packages: Springer Book Archive

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