Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 4, Pages 796–812
DOI: https://doi.org/10.17377/smzh.2017.58.408 (Mi smj2899) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms

A. A. Kosov, E. I. Semenov

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (313 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2017.58.408
Abstract: We study a nonlinear reaction-diffusion system that is modeled by a system of parabolic equations with power-law nonlinear terms. The proposed construction of exact solutions enables us to split the process of finding the components depending on time and the spatial coordinates. We construct multiparametric families of exact solutions in elementary functions. The cases are elaborated of blow-up solutions as well as exact solutions time-periodic but spatially anisotropic.
Keywords: reaction-diffusion system, parabolic equations, exact solutions, blow-up solutions, periodic solutions.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-06680
Ministry of Education and Science of the Russian Federation НШ-8081.2016.9
The authors were supported by the Russian Foundation for Basic Research (Grant 15-08-06680) and the State Maintenance Program for the Leading Scientific Schools (Grant NSh-8081.2016.9).
Received: 24.11.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 4, Pages 619–632
DOI: https://doi.org/10.1134/S0037446617040085
Bibliographic databases:
Document Type: Article
UDC: 517.946
MSC: 35R30
Language: Russian
Citation: A. A. Kosov, E. I. Semenov, “Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms”, Sibirsk. Mat. Zh., 58:4 (2017), 796–812; Siberian Math. J., 58:4 (2017), 619–632
Citation in format AMSBIB
\Bibitem{KosSem17}
\by A.~A.~Kosov, E.~I.~Semenov
\paper Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
\jour Sibirsk. Mat. Zh.
\yr 2017
\vol 58
\issue 4
\pages 796--812
\mathnet{http://mi.mathnet.ru/smj2899}
\crossref{https://doi.org/10.17377/smzh.2017.58.408}
\elib{https://elibrary.ru/item.asp?id=29947451}
\transl
\jour Siberian Math. J.
\yr 2017
\vol 58
\issue 4
\pages 619--632
\crossref{https://doi.org/10.1134/S0037446617040085}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000408727100008}
\elib{https://elibrary.ru/item.asp?id=31066609}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028559895}
Linking options:
  • https://www.mathnet.ru/eng/smj2899
  • https://www.mathnet.ru/eng/smj/v58/i4/p796
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025