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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 2, Pages 189–199 (Mi tmf1678)  
This article is cited in 3 scientific papers (total in 3 papers)

Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations

K. A. Volosov, V. G. Danilov, A. M. Loginov

Moscow State Institute of Electronics and Mathematics (Technical University)
Full-text PDF (949 kB) Citations (3)
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Abstract: Exact single-wave and two-wave solutions of systems of equations of the Newell–Whitehead type are presented. The Painlevé test and calculations in the spirit of Hirota are used to construct these solutions.
Received: 26.10.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 2, Pages 1289–1295
DOI: https://doi.org/10.1007/BF01018276
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. A. Volosov, V. G. Danilov, A. M. Loginov, “Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations”, TMF, 101:2 (1994), 189–199; Theoret. and Math. Phys., 101:2 (1994), 1289–1295
Citation in format AMSBIB
\Bibitem{VolDanLog94}
\by K.~A.~Volosov, V.~G.~Danilov, A.~M.~Loginov
\paper Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations
\jour TMF
\yr 1994
\vol 101
\issue 2
\pages 189--199
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348385}
\zmath{https://zbmath.org/?q=an:0857.35118}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 2
\pages 1289--1295
\crossref{https://doi.org/10.1007/BF01018276}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QY17400003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1678
  • https://www.mathnet.ru/eng/tmf/v101/i2/p189
    • This publication is cited in the following 3 articles:
    1. J. Appl. Industr. Math., 3:4 (2009), 519–527  mathnet  crossref  mathscinet
    2. K. A. Volosov, “A Property of the Ansatz of Hirota's Method for Quasilinear Parabolic Equations”, Math. Notes, 71:3 (2002), 339–354  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. S. V. Petrovskii, “Exact solutions of the forced Burgers equation”, Tech. Phys., 44:8 (1999), 878  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :205
    References:52
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