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Dynamics of Interaction between Two Soliton Clouds

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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Abstract

It is shown based on the relation between the kinetic equation describing the interaction of two soliton clouds in the theory of the Korteweg–de Vries equation with the Chaplygin equations of gas dynamics that the existence of waves propagating without a change in their form is a fundamental property of the nonlinear dynamics of soliton gases. The solutions of several typical problems in the soliton gas dynamics are considered and characteristic features of such dynamics, which make it possible to estimate the effects of interaction of soliton gases, are indicated.

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ACKNOWLEDGMENTS

The authors are grateful to G.A. El for fruitful discussions.

Funding

This study was supported by the Russian Foundation for Basic Research (project no. 20-01-00063).

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Authors and Affiliations

  1. Institute of Spectroscopy, Russian Academy of Sciences, 108840, Troitsk, Moscow, Russia

    A. M. Kamchatnov

  2. Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Moscow oblast, Russia

    D. V. Shaykin

Authors
  1. A. M. Kamchatnov
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  2. D. V. Shaykin
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Corresponding authors

Correspondence to A. M. Kamchatnov or D. V. Shaykin.

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The authors declare that they have no conflicts of interest.

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Translated by N. Wadhwa

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Kamchatnov, A.M., Shaykin, D.V. Dynamics of Interaction between Two Soliton Clouds. J. Exp. Theor. Phys. 135, 768–776 (2022). https://doi.org/10.1134/S106377612211005X

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