scholarly journals Group classification of systems of non-linear reaction–diffusion equations with general diffusion matrix. II. Generalized Turing systems

2007 ◽  
Vol 332 (1) ◽  
pp. 666-690 ◽  
Author(s):  
A.G. Nikitin
Keyword(s):  
Reaction Diffusion ◽  
Group Classification ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Diffusion Matrix ◽  
Linear Reaction ◽  
Non Linear ◽  
Turing Systems

scholarly journals Group classification of variable coefficient quasilinear reaction-diffusion equations

2013 ◽  
Vol 94 (108) ◽  
pp. 81-90 ◽  
Author(s):  
Olena Vaneeva ◽  
Alexander Zhalij
Keyword(s):  
Variable Coefficient ◽  
Reaction Diffusion ◽  
Group Classification ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Equivalence Group ◽  
Point Transformations

The group classification of variable coefficient quasilinear reaction diffusion equations ut = uxx + h(x)B(u) is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformations within the class.

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