Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Vaneeva, O. O.¹  Popovych, R. O.^1,2  Sophocleous, C.³ 

[1] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev 4, Ukraine

[2] Wolfgang Pauli Inst, A-1090 Vienna, Austria

[3] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

关键词: Lie symmetries;    Reaction-diffusion equations;    Conservation laws;    Equivalence transformations;    Exact solutions;    Contractions;   

DOI  :  10.1016/j.jmaa.2012.05.084

来源: Elsevier

【 摘 要 】

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 conservations laws). (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free