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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 188–197
(Mi pmtf1731)
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This article is cited in 5 scientific papers (total in 5 papers)
Propagation of nonlinear waves in an inhomogeneous gas-liquid medium. Derivation of wave equations in the Korteweg–de Vries approximation
A. A. Lugovtsov Kutateladze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk, Russia
Abstract:
Equations describing the propagation of waves of small but finite amplitude in a liquid with gas bubbles are derived. The bubble distribution density is a continuous function of bubble size and spatial coordinates. It is found that, for a uniform bubble distribution, the obtained equations become the Korteweg–de Vries, Kadomtsev–Petviashvili and Khokhlov–Zabolotskaya equations.
Keywords:
bubble liquid, inhomogeneous medium, continuous propagation, wave equation.
Received: 13.10.2006 Accepted: 28.01.2008
Citation:
A. A. Lugovtsov, “Propagation of nonlinear waves in an inhomogeneous gas-liquid medium. Derivation of wave equations in the Korteweg–de Vries approximation”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 188–197; J. Appl. Mech. Tech. Phys., 59:2 (2009), 327–335
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https://www.mathnet.ru/eng/pmtf1731 https://www.mathnet.ru/eng/pmtf/v50/i2/p188
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