Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis
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Date
2022
Authors
McCue, S.W.
Bradshaw Hajek, B.H.
Simpson, M.J.
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Journal article
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Applied Mathematics Letters, 2022; 132(108151):1-8
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Abstract
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.
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Data source: Supplementary data, https://doi.org/10.1016/j.aml.2022.108151
Link to a related website: https://unpaywall.org/10.1016/j.aml.2022.108151, Open Access via Unpaywall
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Copyright 2022 Elsevier
Access Condition Notes: Accepted manuscript available after 1 July 2023