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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Veröffentlicht in:	Kompʹûternye issledovaniâ i modelirovanie (Online) 2013-08, Vol.5 (4), p.543-558
Hauptverfasser:	Levchenko, Evgeny Anatolevich, Trifonov, Andrey Yur'evich, Shapovalov, Aleksandr Vasilievich
Format:	Artikel
Sprache:	eng ; rus
Schlagworte:	asymptotic solution Einstein—Ehrenfest system nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation pattern formation
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Beschreibung
Zusammenfassung:	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
DOI:	10.20537/2076-7633-2013-5-4-543-558