Soliton Scattering by Impurities. An Analytical Approach to Interference Effects

  • Y. S. Kivshar
  • A. M. Kosevich
  • A. O. Chubykalo
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 39)


We have studied analytically the soliton scattering by point and finite-size inhomogeneities on the basis of the perturbed sine-Gordon and Korteweg-de Vries equations. The most remarkable feature of such scattering is interference effects caused by the resonant emission of solitons. These effects may be described by a reflection coefficient which is calculated by means of soliton perturbation theory, the intensity of the inhomogeneities being the small perturbation parameter. Our results are applied to the theory of long Josephson junctions with installed inhomogeneities and to the theory of one-dimensional nonlinear atomic lattices with isotope-like point defects.


Reflection Coefficient Josephson Junction Point Impurity Small Perturbation Parameter Bias Current Density 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Y. S. Kivshar
    • 1
  • A. M. Kosevich
    • 1
  • A. O. Chubykalo
    • 1
  1. 1.Institute for Low Temperature Physics and Engineering, UkrSSR Academy of SciencesUSSRSU-KharkovUSSR

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