Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution

Evgeniy Anatolievich Levchenko, A. Y. Trifonov, Aleksandr Vasilievich Shapovalov

Division for Mathematics and Computer Sciences

Research output: Contribution to journal › Article

Abstract

Asymptotic solutions of the multidimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation with an influence function that is invariant with respect to a spatial shift are constructed. The asymptotic solutions are perturbations of a spatially-homogeneous quasistationary exact solution. General expressions are illustrated by the example of a two-dimensional equation with a Gaussian initial condition.

Original language	English
Journal	Russian Physics Journal
DOIs	https://doi.org/10.1007/s11182-015-0594-6
Publication status	Accepted/In press - 16 Nov 2015

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Keywords

asymptotic solutions
multidimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
quasistationary solution

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Levchenko, E. A., Trifonov, A. Y., & Shapovalov, A. V. (Accepted/In press). Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution. Russian Physics Journal. https://doi.org/10.1007/s11182-015-0594-6

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Access to Document

10.1007/s11182-015-0594-6