Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2015, Volume 11, Number 2, Pages 209–218 (Mi nd476)  

This article is cited in 4 scientific papers (total in 4 papers)

Original papers

Self-similar waves in media with bimodular elastic nonlinearity and relaxation

V. E. Nazarov, S. B. Kiyashko, A. V. Radostin

Institute of Applied Physics of the Russian Academy of Sciences, Nizhnii Novgorod
Full-text PDF (391 kB) Citations (4)
References:
Abstract: The results of research of the propagation of longitudinal acoustic waves in media with bimodular elastic nonlinearity and relaxation are presented. Analytical exact solutions have been obtained for the profiles of asymmetrical stationary waves as well as self-similar pulses and periodical waves propagating without distortions in their form.
Keywords: bimodular nonlinearity, relaxation, nonlinear waves, self-similar solutions.
Funding agency Grant number
Russian Foundation for Basic Research 15-05-05143 а
Received: 18.09.2014
Revised: 24.12.2014
Document Type: Article
UDC: 534.16
MSC: 39A21,74J30
Language: Russian
Citation: V. E. Nazarov, S. B. Kiyashko, A. V. Radostin, “Self-similar waves in media with bimodular elastic nonlinearity and relaxation”, Nelin. Dinam., 11:2 (2015), 209–218
Citation in format AMSBIB
\Bibitem{NazKiyRad15}
\by V.~E.~Nazarov, S.~B.~Kiyashko, A.~V.~Radostin
\paper Self-similar waves in media with bimodular elastic nonlinearity and relaxation
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 2
\pages 209--218
\mathnet{http://mi.mathnet.ru/nd476}
Linking options:
  • https://www.mathnet.ru/eng/nd476
  • https://www.mathnet.ru/eng/nd/v11/i2/p209
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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