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Asymptotics of the multidimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation near a quasistationary solution E. A. Levchenko, A. Y. Trifonov, A. V. Shapovalov

By: Levchenko, E. AContributor(s): Trifonov, Andrey Yu, 1963-2021 | Shapovalov, Alexander V | Томский государственный университет Физический факультет Кафедра теоретической физикиMaterial type: ArticleArticleSubject(s): Фишера-Колмогорова-Петровского-Пискунова уравнение нелокальное | асимптотические решения | квазистационарные решенияGenre/Form: статьи в журналах Online resources: Click here to access online In: Russian physics journal Vol. 58, № 7. P. 952-958Abstract: 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.
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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.

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