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Computer Research and Modeling, 2013, Volume 5, Issue 4, Pages 543–558
DOI: https://doi.org/10.20537/2076-7633-2013-5-4-543-558
(Mi crm416)
 

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation

E. A. Levchenkoa, A. Yu. Trifonovab, A. V. Shapovalovab

a Laboratory of Mathematical Physics of Mathematical Physics Department, Tomsk Polytechnic University, 30 Lenin ave., Tomsk, 634050, Russia
b Theoretical Physics Department, Tomsk State University, 36 Lenin ave., Tomsk, 634050, Russia
Full-text PDF (209 kB) Citations (2)
References:
Abstract: Asymptotic solutions are constructed for the 1D nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation. Such solutions allow to describe the quasi-steady-state patterns. Similar asymptotic solutions of the dynamical Einstein–Ehrenfest system for the 2D Fisher–Kolmogorov–Petrovskii–Piskunov equation are found. The solutions describe properties of 2D patterns localized on 1D manifolds.
Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, pattern formation, Einstein—Ehrenfest system.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 16.740.11.0469
программа "Наука" 1.604.2011
Received: 30.05.2013
Revised: 03.07.2013
Document Type: Article
UDC: 519.8
Language: Russian
Citation: E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation”, Computer Research and Modeling, 5:4 (2013), 543–558
Citation in format AMSBIB
\Bibitem{LevTriSha13}
\by E.~A.~Levchenko, A.~Yu.~Trifonov, A.~V.~Shapovalov
\paper Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 4
\pages 543--558
\mathnet{http://mi.mathnet.ru/crm416}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-4-543-558}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Research and Modeling
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    Full-text PDF :57
    References:56
     
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