University of TabrizComputational Methods for Differential Equations2345-39827120190101Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation54688082ENSeyed RezaHejaziDepartment of mathematical sciences,
Shahrood university of technology,
Shahrood, Semnan, IranElahehSaberiDepartment of mathematical sciences,
Shahrood university of technology,
Shahrood, Semnan, IranElhamLashkarianDepartment of mathematical sciences,
Shahrood university of technology,
Shahrood, Semnan, IranJournal Article20171024In 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.https://cmde.tabrizu.ac.ir/article_8082_ce59954b9985ed275b6bcae07e350a29.pdf