An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation

DOI10.1142/S0219887818501025zbMath1458.35432arXiv1409.3158OpenAlexW3125007314MaRDI QIDQ4641544

A. Yu. Trifonov, Alexander Shapovalov

Publication date: 17 May 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3158

zbMATH Keywords

pattern formationsemiclassical approximationsymmetry operatorsnonlocal Fisher-KPP equationcomplex germ

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Semilinear parabolic equations (35K58) Symmetries, invariants, etc. in context of PDEs (35B06) Pattern formations in context of PDEs (35B36)

Related Items (5)

Examples of asymptotic solutions obtained by the complex germ method for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov equation ⋮ Pattern formation in a nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov model and in a nonlocal model of the kinetics of an metal vapor active medium ⋮ Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model ⋮ Nonlinear self-organized population dynamics induced by external selective nonlocal processes ⋮ Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type

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