Lie symmetries of nonlinear two-dimensional reaction-diffusion systems (Q5942370)
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scientific article; zbMATH DE number 1638457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie symmetries of nonlinear two-dimensional reaction-diffusion systems |
scientific article; zbMATH DE number 1638457 |
Statements
Lie symmetries of nonlinear two-dimensional reaction-diffusion systems (English)
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29 August 2001
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Lie full classification
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The author has offered Lie symmetries description for the system NEWLINE\[NEWLINE\lambda_1 u_t = u_{xx} +F(u,v),\qquad \lambda_2 v_t = v_{xx} +G(u,v).NEWLINE\]NEWLINE If \(\lambda_1\neq\lambda_2\) and \(\lambda_1\lambda_2\neq 0\) then this description is completed. The case of \(\lambda_1\lambda_2=0\) will be completely considered in \textit{R. Cherniha} and \textit{J. King} [J. Phys. A, Math. Gen. (to appear)].
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