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Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. I. Generalized Ginzburg-Landau equations
Authors:AG Nikitin
Institution:Institute of Mathematics of National Academy of Sciences of Ukraine, 4 Tereshchenkivska str., 01601 Kyiv, Ukraine
Abstract:A group classification of the generalized complex Ginzburg-Landau equations is presented. An approach to group classification of systems of reaction-diffusion equations with general diffusion matrix is formulated.
Keywords:Ginzburg-Landau equation  Group classification  Galilei invariance
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