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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 12, Pages 2060–2073
DOI: https://doi.org/10.31857/S004446690003552-8 (Mi zvmmf10805) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exact solutions of equations of a nonstationary front with equilibrium points of a fractional order

A. A. Bykov, K. E. Ermakova

Department of Mathematics, Physical Faculty, Moscow State University, Moscow, Russia
Citations (1)
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DOI: https://doi.org/10.31857/S004446690003552-8
Abstract: A family of exact solutions of an evolution equation describing the combustion process in a medium with a power-law temperature dependence of the source density is found. A formal asymptotics of the solution of the initial boundary value problem for the reaction-diffusion equation is constructed. The correctness of the partial sum of an asymptotic series is proved using the method of differential inequalities.
Key words: nonlinear differential equations, asymptotic methods, contrast structure, differential inequalities.
Received: 08.11.2017
Revised: 17.05.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 12, Pages 1977–1988
DOI: https://doi.org/10.1134/S0965542518120084
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Bykov, K. E. Ermakova, “Exact solutions of equations of a nonstationary front with equilibrium points of a fractional order”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2060–2073; Comput. Math. Math. Phys., 58:12 (2018), 1977–1988
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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