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Deformation of Solitons in Random Media

  • Conference paper
Nonlinearity with Disorder

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 67))

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Abstract

A partial differential equation which describes nonlinear wave propagations in random media is presented. Based on the equation, behaviors of soliton propagations can be analysed exactly. Under the assumption of Gaussian white randomness, it is shown that the amplitude of a soliton decreases asymptotically as x −1/2, x being the distance of the propagation.

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References

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Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-Ku, Tokyo 113, Japan

    M. Wadati

Authors
  1. M. Wadati
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Editor information

Editors and Affiliations

  1. Thermal Physics Department, Uzbek Academy of Sciences, Tashkent-135, Katartal Str. 28, Chilanzar, Uzbekistan

    Fatkulla Abdullaev

  2. Los Alamos National Laboratories, 87545, Los Alamos, NM, USA

    Alan R. Bishop

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© 1992 Springer-Verlag Berlin Heidelberg

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Wadati, M. (1992). Deformation of Solitons in Random Media. In: Abdullaev, F., Bishop, A.R., Pnevmatikos, S. (eds) Nonlinearity with Disorder. Springer Proceedings in Physics, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84774-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-84774-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84776-9

  • Online ISBN: 978-3-642-84774-5

  • eBook Packages: Springer Book Archive

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