Group analysis of kinetic equations in a non-linear thermal transport problem

• 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.

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.