On Hamiltonian Systems Integrable in Elliptic Functions That Describe Waves over Underwater Banks and Ridges
Matematičeskie zametki, Tome 105 (2019) no. 6, pp. 926-931.

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Keywords: Hamiltonian system, integrability, elliptic functions, wave fronts, asymptotics.
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     title = {On {Hamiltonian} {Systems} {Integrable} in {Elliptic} {Functions} {That} {Describe} {Waves} over {Underwater} {Banks} and {Ridges}},
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Yu. V. Brezhnev; A. V. Tsvetkova. On Hamiltonian Systems Integrable in Elliptic Functions That Describe Waves over Underwater Banks and Ridges. Matematičeskie zametki, Tome 105 (2019) no. 6, pp. 926-931. http://geodesic.mathdoc.fr/item/MZM_2019_105_6_a9/

[1] Dzh. Dzh. Stoker, Volny na vode. Matematicheskaya teoriya i prilozheniya, IL, M., 1959

[2] E. N. Pelinovskii, Gidrodinamika voln tsunami, In-t prikladnoi fiziki, Nizhnii Novgorod, 1996

[3] S. Yu Dobrokhotov, S. Ya Sekerzh-zenkovich, B. Tirozzi, B. Volkov, Russ. J. Earth Sci., 8 (2006), ES403 | DOI

[4] S. Y. Dobrokhotov, A. I. Shafarevich, B. Tirozzi, Russ. J. Math. Phys., 15:2 (2008), 192–221 | DOI | MR | Zbl

[5] S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Asimptotiki lokalizovannykh volnovykh i vikhrevykh reshenii linearizovannoi sistemy uravnenii melkoi vody”, Aktualnye problemy mekhaniki, Nauka, M., 2015, 98–139

[6] N. I. Akhiezer, Elementy teorii ellipticheskikh funktsii, Nauka, M., 1970 | MR | Zbl

[7] A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, M. Rulo, Dokl. AN, 475:6 (2017), 624–628 | DOI | Zbl