Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation

DOI10.1016/j.jmaa.2012.05.086zbMath1248.45007OpenAlexW1986722359MaRDI QIDQ448272

E. A. Levchenko, A. Yu. Trifonov, Alexander Shapovalov

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.086

zbMATH Keywords

semiclassical approximationpopulation dynamicsintegro-differential equationLie symmetriesFisher-Kolmogorov-Petrovskii-Piskunov equationnearly linear equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Population dynamics (general) (92D25)

Related Items

Symmetries of the one-dimensional Fokker-Planck-Kolmogorov equation with a nonlocal quadratic nonlinearity ⋮ An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation ⋮ Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator ⋮ Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type

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