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Nonlinear Long Standing Waves with Support Bounded by Caustics or Localized in the Vicinity of a Two-Link Trajectory

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Abstract

The paper is devoted to describing the dynamics and uprush of time-periodic long waves in basins with gentle shores. We consider waves that are defined by solutions localized between caustics in the domain bounded by the shores of the basin. We also consider solutions localized in the vicinity of a periodic trajectory which, during the period, has exactly two intersections with the boundary of such a domain.

DOI 10.1134/S1061920823040106

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Acknowledgments

The authors express their gratitude to S. Yu. Dobrokhotov for useful discussions.

Funding

The study was supported by the Russian Science Foundation grant no. 21-11-00341, https://rscf.ru/project/21-11-00341/.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

    A.I. Klevin & A.V. Tsvetkova

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  1. A.I. Klevin
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  2. A.V. Tsvetkova
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Correspondence to A.I. Klevin or A.V. Tsvetkova.

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Klevin, A., Tsvetkova, A. Nonlinear Long Standing Waves with Support Bounded by Caustics or Localized in the Vicinity of a Two-Link Trajectory. Russ. J. Math. Phys. 30, 543–551 (2023). https://doi.org/10.1134/S1061920823040106

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