<p>Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation</p>

Levchenko E.A.; Trifonov A.Y.; Shapovalov A.V.

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

Levchenko E.A., Trifonov A.Y., Shapovalov A.V.

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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.

Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, pattern formation, Einstein—Ehrenfest system

Citation in English: Levchenko E.A., Trifonov A.Y., Shapovalov A.V. Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation // Computer Research and Modeling, 2013, vol. 5, no. 4, pp. 543-558

DOI: 10.20537/2076-7633-2013-5-4-543-558

URL: http://crm-en.ics.org.ru/journal/article/2064/

Computer Research and Modeling - 2013 - Issue 4

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

According to Crossref, this article is cited by:

Evgeny Anatolevich Levchenko, Andrey Yur’evich Trifonov, Aleksandr Vasilievich Shapovalov. Semiclassical approximation for the nonlocal multidimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation. // Computer Research and Modeling. — 2015. — V. 7, no. 2. — P. 205. DOI: 10.20537/2076-7633-2015-7-2-205-219

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