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Chaos and Statistical Methods pp 181–185Cite as

Chaotic Behaviour of Quasi Solitons in a Nonlinear Dispersive System

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 24))

Abstract

In real systems, when the third-order dispersion term becomes small, it is useful to consider the following equation instead of the Korte-weg-de Vries (K-dV for short) equation;

$${u_t} + u{u_x} - {\gamma ^2}{u_{5x}} = 0,$$
((1))

where the suffix 5x represents the fifth-order partial derivative and γ2 is a constant.

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References

  1. H. Nagashima and K. Kuwahara: J. Phys. Soc. Jpn. 50, 3792 (1981)

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Author information

Authors and Affiliations

  1. Faculty of Liberal Arts, Shizuoka University, Shizuoka, 422, Japan

    H. Nagashima

Authors
  1. H. Nagashima
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Editor information

Editors and Affiliations

  1. Research Institute for Fundamental Physics, Yukawa Hall, Kyoto University, 606, Kyoto, Japan

    Yoshiki Kuramoto

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© 1984 Springer-Verlag Berlin Heidelberg

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Nagashima, H. (1984). Chaotic Behaviour of Quasi Solitons in a Nonlinear Dispersive System. In: Kuramoto, Y. (eds) Chaos and Statistical Methods. Springer Series in Synergetics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69559-9_25

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  • DOI: https://doi.org/10.1007/978-3-642-69559-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-69561-2

  • Online ISBN: 978-3-642-69559-9

  • eBook Packages: Springer Book Archive

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