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Computer Research and Modeling, 2015, Volume 7, Issue 2, Pages 205–219
DOI: https://doi.org/10.20537/2076-7633-2015-7-2-205-219 (Mi crm180) 		 
MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Semiclassical approximation for the nonlocal multidimensionalfisher-kolmogorov-petrovskii-piskunov equation

E. A. Levchenkoa, A. Yu. Trifonova, A. V. Shapovalovb

a Laboratory of Mathematical Physics of Mathematical Ph ysics Department, Tomsk Polytechnical University, 30 Lenin ave., Tomsk, 634050, Russia
b Theoretical Physics Department, Tomsk State University, 36 Lenin ave., Tomsk, 634050, Russia
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DOI: https://doi.org/10.20537/2076-7633-2015-7-2-205-219
Abstract: Semiclassical asymptotic solutions with accuracy $O(DN/2), N \ge 3$ are constructed for the multi-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation in the class of trajectory-concentrated functions. Using the symmetry operators a countable set of asymptotic solutions with accuracy $O(D^{3/2})$ is obtained. Asymptotic solutions of two-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation are found in explicit form.
Funding agency Grant number
Программа повышения конкурентоспособности ТГУ среди ведущих мировых научно-образовательных центров
программf «Наука» 1.676.2014/К
ФЦП ИР 14.578.21.0082
Received: 27.01.2015
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical approximation for the nonlocal multidimensionalfisher-kolmogorov-petrovskii-piskunov equation”, Computer Research and Modeling, 7:2 (2015), 205–219
Citation in format AMSBIB
\Bibitem{LevTriSha15}
\by E.~A.~Levchenko, A.~Yu.~Trifonov, A.~V.~Shapovalov
\paper Semiclassical approximation for the nonlocal multidimensionalfisher-kolmogorov-petrovskii-piskunov equation
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 2
\pages 205--219
\mathnet{http://mi.mathnet.ru/crm180}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-2-205-219}
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