@article {
author = {Hejazi, Seyed Reza and Saberi, Elaheh and Lashkarian, Elham},
title = {Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation},
journal = {Computational Methods for Differential Equations},
volume = {7},
number = {1},
pages = {54-68},
year = {2019},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {},
abstract = {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.},
keywords = {Heat transfer equation,Lie symmetry,Partial differential equation,Hamiltonian equations,Conservation laws},
url = {https://cmde.tabrizu.ac.ir/article_8082.html},
eprint = {https://cmde.tabrizu.ac.ir/article_8082_ce59954b9985ed275b6bcae07e350a29.pdf}
}