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

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

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 languageEnglish
JournalRussian Physics Journal
DOIs
Publication statusAccepted/In press - 16 Nov 2015

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perturbation
shift

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution. / Levchenko, Evgeniy Anatolievich; Trifonov, A. Y.; Shapovalov, Aleksandr Vasilievich.

In: Russian Physics Journal, 16.11.2015.

Research output: Contribution to journal › Article

Levchenko, EA, Trifonov, AY & Shapovalov, AV 2015, '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
Levchenko EA, Trifonov AY, Shapovalov AV. Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution. Russian Physics Journal. 2015 Nov 16. https://doi.org/10.1007/s11182-015-0594-6
Levchenko, Evgeniy Anatolievich ; Trifonov, A. Y. ; Shapovalov, Aleksandr Vasilievich. / Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution. In: Russian Physics Journal. 2015.
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