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

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

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...

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Bibliographic Details
Main Authors: Evgeny Anatolevich Levchenko, Andrey Yur'evich Trifonov, Aleksandr Vasilievich Shapovalov
Format: Article
Language:Russian
Published: Institute of Computer Science 2013-08-01
Series:Компьютерные исследования и моделирование
Subjects:
nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
asymptotic solution
pattern formation
Einstein—Ehrenfest system
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2013_4/13404.pdf
Description
Summary: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.
ISSN:2076-7633
2077-6853

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