Examples of asymptotic solutions obtained by the complex germ method for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov equation

DOI10.1007/s11182-021-02488-yzbMath1495.81055OpenAlexW4206580734MaRDI QIDQ2131332

S. A. Siniukov, A. Yu. Trifonov, Alexander Shapovalov

Publication date: 25 April 2022

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-021-02488-y

zbMATH Keywords

semiclassical asymptoticsnumerical solutionsnonlocal Fisher-Kolmogorov-Petrovsky-Piskunov equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
• Asymptotics semiclassically concentrated on curves for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
• An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation