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A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation

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Dynamical Problems in Soliton Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 30))

Abstract

Recent studies have shown that some driven damped soliton systems have a chaotic soliton exhibiting coherent spatial structure and temporal chaos [1]. These studies indicate that a low dimensional chaotic attractor corresponding to a chaotic soliton is embedded in such driven damped soliton systems. When forcing and damping effects are small enough and a forcing field consists of two oscillating components, a soliton of the nonlinear Schrödinger equation has been shown to become a chaotic attractor described by a couple of ordinary differential equations (obtained by means of the first order perturbation theory) [2].

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References

  1. K. Nozaki and N. Bekki: Phys. Rev. Lett. 50, 1226 (1983)

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Author information

Authors and Affiliations

  1. Department of Physics, Nagoya University, Nagoya 464, Japan

    N. Bekki & K. Nozaki

Authors
  1. N. Bekki
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  2. K. Nozaki
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Editor information

Editors and Affiliations

  1. Department of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology, Matsugasaki, Kyoto 606, Japan

    Shozo Takeno

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© 1985 Springer-Verlag Berlin Heidelberg

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Bekki, N., Nozaki, K. (1985). A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation. In: Takeno, S. (eds) Dynamical Problems in Soliton Systems. Springer Series in Synergetics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02449-2_39

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  • DOI: https://doi.org/10.1007/978-3-662-02449-2_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02451-5

  • Online ISBN: 978-3-662-02449-2

  • eBook Packages: Springer Book Archive

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