Semiclassical approximation for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation

Levchenko E.A., Trifonov A.Y., Shapovalov A.V.
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Semiclassical asymptotic solutions with accuracy $O(D^{N/2})$, $N\geqslant3$ are constructed for the multidimensional 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.

Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, Einstein— Ehrenfest system
Citation in English: Levchenko E.A., Trifonov A.Y., Shapovalov A.V. Semiclassical approximation for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation // Computer Research and Modeling, 2015, vol. 7, no. 2, pp. 205-219
Citation in English: Levchenko E.A., Trifonov A.Y., Shapovalov A.V. Semiclassical approximation for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation // Computer Research and Modeling, 2015, vol. 7, no. 2, pp. 205-219
DOI: 10.20537/2076-7633-2015-7-2-205-219
URL: http://crm-en.ics.org.ru/journal/article/2257/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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