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Zhurnal Tekhnicheskoi Fiziki, 2020, Volume 90, Issue 1, Pages 11–17
DOI: https://doi.org/10.21883/JTF.2020.01.48654.82-19 (Mi jtf5399) 		 
Theoretical and Mathematical Physics

Stationary and self-similar waves in a rod with bimodular nonlinearity, dissipation, and dispersion

V.E.Nazarov, S. B. Kiyashko

Federal Research Center The Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod
Full-text PDF (147 kB)
DOI: https://doi.org/10.21883/JTF.2020.01.48654.82-19
Abstract: Propagation of longitudinal elastic waves in a rod with bimodular nonlinearity, linear dissipation, and geometrical dispersion of phase velocity is analyzed. Analytical and numerical solutions are obtained for stationary and self-similar waveforms and pulsed perturbations that propagate in the rod without shape changes, and a corresponding graphical analysis is presented.
Keywords: bimodular nonlinearity, dissipation, dispersion, elastic waves.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0035-2019-0009
This work was supported by State Contract no. 0035-2019-0009.
Received: 05.03.2019
Revised: 06.05.2019
Accepted: 29.06.2019
English version:
Technical Physics, 2020, Volume 65, Issue 1, Pages 7–13
DOI: https://doi.org/10.1134/S106378422001020X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V.E.Nazarov, S. B. Kiyashko, “Stationary and self-similar waves in a rod with bimodular nonlinearity, dissipation, and dispersion”, Zhurnal Tekhnicheskoi Fiziki, 90:1 (2020), 11–17; Tech. Phys., 65:1 (2020), 7–13
Citation in format AMSBIB
\Bibitem{NazKiy20}
\by V.E.Nazarov, S.~B.~Kiyashko
\paper Stationary and self-similar waves in a rod with bimodular nonlinearity, dissipation, and dispersion
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2020
\vol 90
\issue 1
\pages 11--17
\mathnet{http://mi.mathnet.ru/jtf5399}
\crossref{https://doi.org/10.21883/JTF.2020.01.48654.82-19}
\elib{https://elibrary.ru/item.asp?id=42744490}
\transl
\jour Tech. Phys.
\yr 2020
\vol 65
\issue 1
\pages 7--13
\crossref{https://doi.org/10.1134/S106378422001020X}
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