Citation:
S. Yu. Dobrokhotov, O. L. Tolstova, I. Yu. Chudinovich, “Waves in a fluid over an elastic bottom. The existence theorem and exact solutions”, Mat. Zametki, 54:6 (1993), 33–55; Math. Notes, 54:6 (1993), 1208–1222
\Bibitem{DobTolChu93}
\by S.~Yu.~Dobrokhotov, O.~L.~Tolstova, I.~Yu.~Chudinovich
\paper Waves in a fluid over an elastic bottom. The existence theorem and exact solutions
\jour Mat. Zametki
\yr 1993
\vol 54
\issue 6
\pages 33--55
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\zmath{https://zbmath.org/?q=an:0830.35099}
\transl
\jour Math. Notes
\yr 1993
\vol 54
\issue 6
\pages 1208--1222
\crossref{https://doi.org/10.1007/BF01209082}
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Linking options:
https://www.mathnet.ru/eng/mzm2449
https://www.mathnet.ru/eng/mzm/v54/i6/p33
This publication is cited in the following 5 articles:
Dobrokhotov S.Yu., Ilyasov Kh.Kh., Tolstova O.L., “Simple Solutions to the Linear Problem of the Generation of Long Waves on the Surface of a Liquid By a Source in An Elastic Foundation Bottom”, Mech. Sol., 55:4 (2020), 561–572
Dobrokhotova S.Yu., Ilyasov Kh.Kh., Sekerzh-Zenkovich S.Ya., Tolstova O.L., “Simple Solutions to the Wave Problem on the Surface of a Fluid With the Linear Hydroelastic Model”, Dokl. Phys., 64:8 (2019), 319–324
Dobrokhotov S.Yu., Tolstova O.L., Sekerzh-Zenkovich S.Ya., Vargas C.A., “Influence of the Elastic Base of a Basin on the Propagation of Waves on the Water Surface”, Russ. J. Math. Phys., 25:4 (2018), 459–469
R. O. Hryniv, S. Yu. Dobrokhotov, A. A. Shkalikov, “An operator model for the oscillation problem of liquids on an elastic bottom”, Math. Notes, 68:1 (2000), 57–70
S. Yu. Dobrokhotov, O. L. Tolstova, “Asymptotic eigenfunctions and generalized eigenfunctions of an operator related to wave motions of a fluid over an elastic slightly nonflat bottom”, Math. Notes, 58:6 (1995), 1336–1340