J F R Archilla et al 1997 J. Phys. A: Math. Gen. 30 4259 doi:10.1088/0305-4470/30/12/014
Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models
J F R Archilla
, J L Romero
, F Romero Romero§ and F Palmero
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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Issue 12 (21 June 1997)
Received 1 March 1996, in final form 7 August 1996
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Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models
J F R Archilla et al 1997 J. Phys. A: Math. Gen. 30 4259
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