TY - JOUR
ID - 8082
TI - Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Hejazi, Seyed Reza
AU - Saberi, Elaheh
AU - Lashkarian, Elham
AD - Department of mathematical sciences,
Shahrood university of technology,
Shahrood, Semnan, Iran
Y1 - 2019
PY - 2019
VL - 7
IS - 1
SP - 54
EP - 68
KW - Heat transfer equation
KW - Lie symmetry
KW - Partial differential equation
KW - Hamiltonian equations
KW - Conservation laws
DO -
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_8082.html
L1 - https://cmde.tabrizu.ac.ir/article_8082_ce59954b9985ed275b6bcae07e350a29.pdf
ER -