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Chaotic Dynamics of Nonlinear Schrödinger Soliton Interaction with an Oscillating Impurity

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Nonlinearity with Disorder

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

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Abstract

The problem of nonlinear Schrodinger soliton interaction with an oscillating impurity has been considered. The regimes of soliton motion for cases of periodic and random oscillations of the impurity near an equilibrium point have been investigated. As shown in the first case there exist regions of parameters under which a soliton dynamics becomes chaotic. The comparison of statistic characteristics of chaos in the region of dynamic and standard stochasticity has been carried out. The coefficient of soliton diffusion is found.

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Author information

Authors and Affiliations

  1. Thermal Physics Department, Uzbek Academy of Sciences, 700 135, Tashkent, Chilanzar, Katartal Str. 28, Uzbekistan

    F. Kh. Abdullaev

  2. Physics Department, Tashkent State University, 700 095, Tashkent, Uzbekistan

    A. A. Abdumalikov

Authors
  1. F. Kh. Abdullaev
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  2. A. A. Abdumalikov
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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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Abdullaev, F.K., Abdumalikov, A.A. (1992). Chaotic Dynamics of Nonlinear Schrödinger Soliton Interaction with an Oscillating Impurity. 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_9

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  • DOI: https://doi.org/10.1007/978-3-642-84774-5_9

  • 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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