TY - JOUR
T1 - Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution
AU - Levchenko, Evgeniy Anatolievich
AU - Trifonov, A. Y.
AU - Shapovalov, Aleksandr Vasilievich
PY - 2015/11/16
Y1 - 2015/11/16
N2 - 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.
AB - 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.
KW - asymptotic solutions
KW - multidimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
KW - quasistationary solution
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U2 - 10.1007/s11182-015-0594-6
DO - 10.1007/s11182-015-0594-6
M3 - Article
AN - SCOPUS:84979959233
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
ER -