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

  • Irina A. Soustova
  • Konstantin A. Gorshkov
  • Alexey V. Ermoshkin
  • Lev A. Ostrovsky
  • Yuliya I. Troitskaya
Part of the Springer Oceanography book series (SPRINGEROCEAN)


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.



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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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Irina A. Soustova
    • 1
  • Konstantin A. Gorshkov
    • 1
  • Alexey V. Ermoshkin
    • 1
  • Lev A. Ostrovsky
    • 1
  • Yuliya I. Troitskaya
    • 1
  1. 1.Institute of Applied Physics, Russian Academy of SciencesNizhny NovgorodRussia

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