Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
نویسندگان
چکیده
منابع مشابه
Group Classification of Systems of Non-linear Reaction-diffusion Equations with General Diffusion Matrix. Ii. Diagonal Diffusion Matrix
Group classification of systems of two coupled nonlinear reaction-diffusion equation with a diagonal diffusion matrix is carried out. Symmetries of diffusion systems with singular diffusion matrix and additional first order derivative terms are described.
متن کامل48 v 1 2 5 Fe b 20 05 Group classification of systems of non - linear reaction - diffusion equations with general diffusion matrix . III . Triangular diffusion matrix
Absrtract. Group classification of systems of two coupled nonlinear reaction-diffusion equation with a general diffusion matrix started in papers [1], [2] is completed in present paper where all non-equivalent equations with triangular diffusion matrix are classified. In addition, symmetries of diffusion systems with nilpotent diffusion matrix and additional first order derivative terms are des...
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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.
متن کاملGroup classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. I. Generalized Landau-Ginzburg equations
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 developed.
متن کاملGroup classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems
Group classification of systems of two coupled nonlinear reaction-diffusion equation with a diagonal diffusion matrix is carried out. Symmetries of diffusion systems with singular diffusion matrix and additional first order derivative terms are described.
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2007
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-007-0028-x