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Solitons in Viscous Flows

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Dissipative Solitons: From Optics to Biology and Medicine

Part of the book series: Lecture Notes in Physics ((LNP,volume 751))

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Abstract

Building upon nonlinearity, dispersion and dissipation (in most cases including an appropriate input–output energy balance), we offer a discussion of a rich panoply of mathematical model equations whose solutions are dissipative solitons. The presentation is made by first introducing heuristic arguments and subsequently developing appropriate long-wave expansions to account for the phenomena involved in the most significant way.

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Authors and Affiliations

  1. Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, 1, Madrid, E-28040, Spain

    M.G. Velarde

  2. Technion-Israel Institute of Technology, Technion City, Haifa 32000, Israel

    A.A. Nepomnyashchy

Authors
  1. M.G. Velarde
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  2. A.A. Nepomnyashchy
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Correspondence to M.G. Velarde .

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Velarde, M., Nepomnyashchy, A. (2008). Solitons in Viscous Flows. In: Dissipative Solitons: From Optics to Biology and Medicine. Lecture Notes in Physics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78217-9_2

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  • DOI: https://doi.org/10.1007/978-3-540-78217-9_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78216-2

  • Online ISBN: 978-3-540-78217-9

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