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

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...

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Bibliographic Details
Published inRussian journal of mathematical physics Vol. 30; no. 4; pp. 543 - 551
Main Authors Klevin, A.I., Tsvetkova, A.V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2023
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Mathematical and Computational Physics
Physics
Physics and Astronomy
Shores
Standing waves
Theoretical
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Summary: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
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920823040106