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Perturbation Theory for the Compound Soliton of the Gardner’s Equation; Their Interaction and Evolution in a Media with Variable Parameters

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The Ocean in Motion

Part of the book series: Springer Oceanography ((SPRINGEROCEAN))

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Abstract

This paper is a brief review of the results of an approximate description of the evolution and interaction of composite solitons, obtained by the authors in 2001–2016. As one of the applications of the theory, the features of the evolution of intense internal waves in the shelf zone of the ocean are analyzed.

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Acknowledgements

This study was supported by the Russian Foundation for Basic Research (projects 16-55-52022, 18-05-00292 and 17-05-41117 RGS). Numerical code development and numerical modeling were supported by the Russian Science Foundation (grant 15-17-20009).

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia

    Irina A. Soustova, Konstantin A. Gorshkov, Alexey V. Ermoshkin, Lev A. Ostrovsky & Yuliya I. Troitskaya

Authors
  1. Irina A. Soustova
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  2. Konstantin A. Gorshkov
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  3. Alexey V. Ermoshkin
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  4. Lev A. Ostrovsky
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  5. Yuliya I. Troitskaya
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Corresponding author

Correspondence to Irina A. Soustova .

Editor information

Editors and Affiliations

  1. Instituto Pluridisciplinar, Universidad Complutense de Madrid, Madrid, Spain

    Manuel G. Velarde

  2. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia

    Roman Yu. Tarakanov

  3. Department of Arctic Technology, University Center in Svalbard, Longyearbyen, Norway

    Alexey V. Marchenko

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Soustova, I.A., Gorshkov, K.A., Ermoshkin, A.V., Ostrovsky, L.A., Troitskaya, Y.I. (2018). Perturbation Theory for the Compound Soliton of the Gardner’s Equation; Their Interaction and Evolution in a Media with Variable Parameters. In: Velarde, M., Tarakanov, R., Marchenko, A. (eds) The Ocean in Motion. Springer Oceanography. Springer, Cham. https://doi.org/10.1007/978-3-319-71934-4_19

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