Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis

Autor:	McCue, Scott W, Bradshaw-Hajek, Bronwyn H, Simpson, Matthew J
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 35-XX
Druh dokumentu:	Working Paper
Popis:	We consider a family of exact solutions to a nonlinear reaction-diffusion model, constructed using nonclassical symmetry analysis. In a particular limit, the mathematical model approaches the well-known Fisher-KPP model, which means that it is related to various applications including cancer progression, wound healing and ecological invasion. The exact solution is mathematically interesting since exact solutions of the Fisher-KPP model are rare, and often restricted to long-time travelling wave solutions for special values of the travelling wave speed. Comment: 9 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.08915 Zobrazit plný text záznamu View this record from Arxiv