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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 341–361
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-341-361 (Mi cheb913) 		 
On traveling waves in systems of absolutely elastic particles on a straight line

S. M. Saulinab

a Faculty of Mechanics and Mathematics of M. V. Lomonosov MSU (Moscow)
b Steklov Mathematical Institute of Russian Academy of Sciences (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-2-341-361
Abstract: We consider a system of an infinite number of absolutely elastic particles on a straight line, the masses and initial distances between which are periodically repeated. We study the conditions under which solutions such as traveling waves can exist in such systems.
Keywords: absolutely elastic blow, traveling wave, billiards.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00887_а
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Received: 23.11.2019
Accepted: 11.03.2020
Bibliographic databases:
Document Type: Article
UDC: 514.853
Language: Russian
Citation: S. M. Saulin, “On traveling waves in systems of absolutely elastic particles on a straight line”, Chebyshevskii Sb., 21:2 (2020), 341–361
Citation in format AMSBIB
\Bibitem{Sau20}
\by S.~M.~Saulin
\paper On traveling waves in systems of absolutely elastic particles on a straight line
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 341--361
\mathnet{http://mi.mathnet.ru/cheb913}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-2-341-361}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4188512}
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