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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 1, Pages 25–47 (Mi tmf5844)  
This article is cited in 13 scientific papers (total in 13 papers)

Wave solutions of semilinear parabolic equations

V. G. Danilov, P. Yu. Subochev
Full-text PDF (4494 kB) Citations (13)
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Abstract: Interactions of nonlinear waves (kinks) described by semilinear parabolic equations are investigated. Exact two-phase solutions that generalize Newell's solutions are constructed for nonlinearities having the form of a cubic polynomial. An asymptotic solution describing the interaction of kinks propagating in a strip between the roots of the nonlinearity is obtained for the Kolmogorov–Petrovskii–Piskunov–Fisher equation.
Received: 25.02.1991
English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 1, Pages 1029–1046
DOI: https://doi.org/10.1007/BF01016803
Bibliographic databases:
Language: Russian
Citation: V. G. Danilov, P. Yu. Subochev, “Wave solutions of semilinear parabolic equations”, TMF, 89:1 (1991), 25–47; Theoret. and Math. Phys., 89:1 (1991), 1029–1046
Citation in format AMSBIB
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\by V.~G.~Danilov, P.~Yu.~Subochev
\paper Wave solutions of semilinear parabolic equations
\jour TMF
\yr 1991
\vol 89
\issue 1
\pages 25--47
\mathnet{http://mi.mathnet.ru/tmf5844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1151368}
\zmath{https://zbmath.org/?q=an:0777.35029}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 89
\issue 1
\pages 1029--1046
\crossref{https://doi.org/10.1007/BF01016803}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991HT16100004}
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    • This publication is cited in the following 13 articles:
    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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    References:49
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