%0 Journal Article
%T Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Hejazi, Seyed Reza
%A Saberi, Elaheh
%A Lashkarian, Elham
%D 2019
%\ 01/01/2019
%V 7
%N 1
%P 54-68
%! Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
%K Heat transfer equation
%K Lie symmetry
%K Partial differential equation
%K Hamiltonian equations
%K Conservation laws
%R
%X In this paper Lie point symmetries, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation are investigated. First of all Lie symmetries are obtained by using the general method based on invariance condition of a system of differential equations under a prolonged vector field. Then the structure of symmetry operators as a Lie algebra are clarified and the classification of subalgebras under adjoint transformation is given. Hamiltonian equations including Hamiltonian symmetry are obtained. Finally a modified virsion of Noether’s method including the direct method are applied in order to find local conservation laws of the equation.
%U https://cmde.tabrizu.ac.ir/article_8082_ce59954b9985ed275b6bcae07e350a29.pdf