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

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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

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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