Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models

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, , Citation J F R Archilla et al 1997 J. Phys. A: Math. Gen. 30 4259 DOI 10.1088/0305-4470/30/12/014

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1 Departamento de Física Aplicada, Universidad de Sevilla, PO Box 1065, Sevilla, Spain

2 Departamento de Matemáticas Universidad de Cádiz, PO Box 40, Puerto Real (Cádiz), Spain

3 Departamento de FAMN, Universidad de Sevilla, PO Box 1065, Sevilla, Spain

Dates

  1. Received 1 March 1996

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0305-4470/30/12/4259

Abstract

Symmetries of nonlinear reaction-diffusion equations determine the existence of regular rotating spiral waves. They are only a consequence of kinetics processes and molecular diffusion. We prove the existence of these waves as invariant solutions of reaction-diffusion models with appropiate Lie point symmetries.

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