Article
Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models
Author/s | Archilla, Juan F. R.
Romero Romero, Juan Luis Romero Romero, Francisco Palmero Acebedo, Faustino |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 1997 |
Deposit Date | 2022-02-10 |
Published in |
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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 ... 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. |
Citation | Archilla, J.F.R., Romero Romero, J.L., Romero Romero, F. y Palmero Acebedo, F. (1997). Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models. Journal of Physics A: Mathematical and General, 30 (12), 4259-4271. |
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