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Pulse Interactions and Wave Evolutions in an Unstable Dissipative Dispersive System

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Nonlinear Water Waves

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Summary

Wave evolutions in a nonlinear equation with instability, dispersion, and dissipation are investigated both numerically and analytically. It is shown that equilibrium states or chaotic evolutions in the initial value problem can be described by interactions of localized soliton-like pulses arranged in a string. Nonlinear lattice equations governing the inter-pulse distances involve chaotic motions in accordance with the numerical results.

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Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, Kyoto University, Kyoto 606, Japan

    Takuji Kawahara, Sadayoshi Toh & Masanori Takaoka

Authors
  1. Takuji Kawahara
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  2. Sadayoshi Toh
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  3. Masanori Takaoka
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Editor information

Editors and Affiliations

  1. Dept. of Civil Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    Kiyoshi Horikawa

  2. Dept. of Naval Architecture and Ocean Engineering, Yokohama National University, 156 Tokiwadai, Hodogaya-ku, Yokohama 240, Japan

    Hajime Maruo

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© 1988 Springer-Verlag Berlin Heidelberg

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Kawahara, T., Toh, S., Takaoka, M. (1988). Pulse Interactions and Wave Evolutions in an Unstable Dissipative Dispersive System. In: Horikawa, K., Maruo, H. (eds) Nonlinear Water Waves. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83331-1_21

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  • DOI: https://doi.org/10.1007/978-3-642-83331-1_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83333-5

  • Online ISBN: 978-3-642-83331-1

  • eBook Packages: Springer Book Archive

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