Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
Date
2012ISSN
0022-247XSource
Journal of Mathematical Analysis and ApplicationsVolume
396Issue
1Pages
225-242Google Scholar check
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The group classification of a class of variable coefficient reaction-diffusion equations with exponential nonlinearities is carried out up to both the equivalence generated by the corresponding generalized equivalence group and the general point equivalence. The set of admissible transformations of this class is exhaustively described via finding the complete family of maximal normalized subclasses and associated conditional equivalence groups. Limit processes between variable coefficient reaction-diffusion equations with power nonlinearities and those with exponential nonlinearities are simultaneously studied with limit processes between objects related to these equations (including Lie symmetries, exact solutions and conservation laws). © 2012 Elsevier Ltd.