Algebraic methods in the study of systems of the reaction-diffusion type
Matteo Beccaria, Giulio Soliani
Abstract
Nonlinear systems of the reaction-diffusion type, including Gierer-Meinhardt models of autocatalysis, are studied by using Lie algebras coming from the prolongation structure. The consequences of this analytical approach, as the determination of special exact solutions, are compared with the corresponding results obtained via numerical simulations.
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