On the equivalence groups for (2+1) dimensional nonlinear diffusion equation. (October 2018)

• Record Type: Journal Article
• Authors: Özer, Saadet
• Is Part Of: Nonlinear analysis. Volume 43(2018)
• Page Start: 155
• Page End: 166
• Publication Date: 2018-10
• Subjects: Lie group application -- Equivalence transformations -- Exact solution -- Nonlinear diffusion equation; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.02.010
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: (2+1) dimensional diffusion equation is considered within the framework of the group of equivalence transformations. Generators for the group are obtained and admissible transformations between linear and nonlinear equations are examined. It is shown that transformations between linear and nonlinear equations are possible provided that the generators of independent variables depend on the dependent variable. Exact solutions for some nonlinear equations are obtained.