Group analysis of kinetic equations in a non-linear thermal transport problem. (May 2015)

• Record Type: Journal Article
• Authors: Ibragimov, N.H.; Kovalev, V.F.; Meleshko, S.V.; Bychenkov, V.Yu.
• Is Part Of: International journal of non-linear mechanics. Volume 71(2015)
• Page Start: 1
• Page End: 7
• Publication Date: 2015-05
• Subjects: Symmetry -- Invariant solution -- Kinetic equations -- Thermal transport problem; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2014.12.011
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: An application of modern group analysis to electron kinetic equations in non-linear thermal transport problem is discussed. The admitted symmetry group is calculated, and the optimal system of one and two-dimensional subalgebras is constructed. Representations of invariant solutions are presented. Abstract : Highlights: Modern group analysis is applied to electron kinetic equations in non-linear thermal transport problem. The admitted symmetry group is calculated, and the optimal system of one and two-dimensional subalgebras is constructed. Representations of new invariant solutions are presented.