Algebraic methods in the study of systems of the reaction-diffusion type

Details Algebraic methods in the study of systems of the reaction-diffusion type Algebraic methods in the study of systems of the reaction-diffusion type

1997-10-29

arxiv.org/abs/cond-mat/9710308v1

Physics

Condensed Matter

Statistical Mechanics

39 pages, REVTEX, 8 PostScript figures

Scientific paper

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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