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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 5, Pages 576–585
DOI: https://doi.org/10.1134/S1560354714050050 (Mi rcd183) 		 
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
Citations (11)
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DOI: https://doi.org/10.1134/S1560354714050050
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.
Funding agency Grant number
Russian Science Foundation 14-11-00258
This research was supported by the Russian Science Foundation, project No. 14-11-00258.
Received: 07.07.2014
Accepted: 29.08.2014
Bibliographic databases:
Document Type: Article
MSC: 35Q35, 35Q53, 34M05
Language: English
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
Citation in format AMSBIB
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\by Nikolay~A.~Kudryashov, Dmitry~I.~Sinelshchikov
\paper Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 5
\pages 576--585
\mathnet{http://mi.mathnet.ru/rcd183}
\crossref{https://doi.org/10.1134/S1560354714050050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3266828}
\zmath{https://zbmath.org/?q=an:1307.35229}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000343081300005}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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