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
\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:
Vladislav Rykhlov, Anatoly Anikin, “High-frequency two-dimensional asymptotic standing coastal trapped waves in nearly integrable case”, Lett Math Phys, 115:1 (2025)
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
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
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
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