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math.AP2023
Analytic shock-fronted solutions to a reaction-diffusion equation with negative diffusivity
Thomas Miller, Alexander K. Y. Tam, Robert Marangell +2
Reaction-diffusion equations (RDEs) model the spatiotemporal evolution of a density field according to diffusion and net local changes. Usually, the diffusivity is p…
math.AP2015★ 16 cited
Exact nonclassical symmetry solutions of Arrhenius reaction-diffusion
P. Broadbridge, B. H. Bradshaw-Hajek, D. Triadis
Exact solutions for nonlinear Arrhenius reaction-diffusion are constructed in dimensions. A single relationship between nonlinear diffusivity and the nonlinear reaction term le…