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Algebra i Analiz, 2021, Volume 33, Issue 2, Pages 5–34 (Mi aa1746)  

This article is cited in 5 scientific papers (total in 5 papers)

Research Papers

Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves

A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Full-text PDF (539 kB) Citations (5)
References:
Funding agency Grant number
Russian Science Foundation 16-11-10282
Received: 22.08.2020
English version:
St. Petersburg Mathematical Journal, 2022, Volume 33, Issue 2, Pages 185–205
DOI: https://doi.org/10.1090/spmj/1696
Document Type: Article
Language: Russian
Citation: A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves”, Algebra i Analiz, 33:2 (2021), 5–34; St. Petersburg Math. J., 33:2 (2022), 185–205
Citation in format AMSBIB
\Bibitem{AniDobNaz21}
\by A.~Yu.~Anikin, S.~Yu.~Dobrokhotov, V.~E.~Nazaikinskii, A.~V.~Tsvetkova
\paper Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves
\jour Algebra i Analiz
\yr 2021
\vol 33
\issue 2
\pages 5--34
\mathnet{http://mi.mathnet.ru/aa1746}
\transl
\jour St. Petersburg Math. J.
\yr 2022
\vol 33
\issue 2
\pages 185--205
\crossref{https://doi.org/10.1090/spmj/1696}
Linking options:
  • https://www.mathnet.ru/eng/aa1746
  • https://www.mathnet.ru/eng/aa/v33/i2/p5
  • This publication is cited in the following 5 articles:
    1. Vladislav Rykhlov, Anatoly Anikin, “High-frequency two-dimensional asymptotic standing coastal trapped waves in nearly integrable case”, Lett Math Phys, 115:1 (2025)  crossref
    2. A.V. Tsvetkova, “Real Semiclassical Approximation for the Asymptotics of Jacobi Polynomials Given by a Difference Equation”, Russ. J. Math. Phys., 31:4 (2024), 774  crossref
    3. M. M. Votiakova, S. Yu. Dobrokhotov, D. S. Minenkov, “Classical and Wave Dynamics of Long Nonlinear Waves Localized in the Vicinity of Gently Sloping Shores”, Proc. Steklov Inst. Math., 327 (2024), 20–36  mathnet  crossref  crossref
    4. S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Nonlinear Effects and Run-up of Coastal Waves Generated by Billiards with Semi-rigid Walls in the Framework of Shallow Water Theory”, Proc. Steklov Inst. Math., 322 (2023), 105–117  mathnet  crossref  crossref  mathscinet
    5. A.I. Klevin, A.V. Tsvetkova, “Nonlinear Long Standing Waves with Support Bounded by Caustics or Localized in the Vicinity of a Two-Link Trajectory”, Russ. J. Math. Phys., 30:4 (2023), 543  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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