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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 1, Pages 44–54
(Mi pmtf3028)
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This article is cited in 3 scientific papers (total in 3 papers)
Summation of the Witting series in the solitary-wave problem
E. A. Karabut Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Abstract:
Some exact solutions of the Euler equations with a free surface in the presence of gravitation forces are found. They are obtained by summing Witting series applied in the theory of solitary waves. It is shown that in some cases, the left-hand half of the constructed flows is close to the left-hand half of the solitary waves.
Received: 21.04.1997
Citation:
E. A. Karabut, “Summation of the Witting series in the solitary-wave problem”, Prikl. Mekh. Tekh. Fiz., 40:1 (1999), 44–54; J. Appl. Mech. Tech. Phys., 40:1 (1999), 36–45
Linking options:
https://www.mathnet.ru/eng/pmtf3028 https://www.mathnet.ru/eng/pmtf/v40/i1/p44
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