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This article is cited in 11 scientific papers (total in 11 papers)
Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov National Research Nuclear University MEPhI (Moscow Engineering Physics Institute),
Kashirskoe Shosse 31, 115409 Moscow, Russia
Abstract:
A fifth-order nonlinear partial differential equation for the description of nonlinear waves in a liquid with gas bubbles is considered. Special solutions of this equation are studied. Some elliptic and simple periodic traveling wave solutions are constructed. Connection of selfsimilar solutions with Painlevé transcendents and their high-order analogs is discussed.
Keywords:
waves in a liquid with gas bubbles, evolution equations, exact solutions, meromorphic solutions, fifth-order KdV equation, Kaup–Kupershmidt equation.
Received: 07.07.2014 Accepted: 29.08.2014
Citation:
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, “Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles”, Regul. Chaotic Dyn., 19:5 (2014), 576–585
Linking options:
https://www.mathnet.ru/eng/rcd183 https://www.mathnet.ru/eng/rcd/v19/i5/p576
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Abstract page: | 214 | References: | 54 |
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