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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 11, Pages 1988–1997 (Mi zvmmf4967)  
This article is cited in 5 scientific papers (total in 5 papers)

Effect of the pipe curvature on internal elastic wave propagation

V. A. Rukavishnikov, O. P. Tkachenko

Computer Center, Far East Division, Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk, 680000 Russia
Full-text PDF (234 kB) Citations (5)
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Abstract: A mathematical model of internal elastic wave propagation in a bent pipe is developed. For slightly bent pipes, a method is devised for reducing the equations to a lower dimension problem. It is shown that the wave dynamics are described by the Korteweg-de Vries and Klein–Gordon–Fock equations. Thus, the class of problems to which these equations apply is expanded.
Key words: nonlinear waves in bent pipes, mathematical model of wave propagation, Korteweg-de Vries equation, Klein–Gordon–Fock equation, numerical method.
Received: 25.02.2010
Revised: 25.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 11, Pages 1886–1894
DOI: https://doi.org/10.1134/S0965542510110126
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Rukavishnikov, O. P. Tkachenko, “Effect of the pipe curvature on internal elastic wave propagation”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010), 1988–1997; Comput. Math. Math. Phys., 50:11 (2010), 1886–1894
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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