Department of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran
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.
Hejazi, S. R. , Saberi, E. , & Lashkarian, E. (2019). Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation. Computational Methods for Differential Equations, 7(1), 54-68.
MLA
Seyed Reza Hejazi; Elaheh Saberi; Elham Lashkarian. "Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation", Computational Methods for Differential Equations, 7, 1, 2019, 54-68.
HARVARD
Hejazi, S. R., Saberi, E., Lashkarian, E. (2019). 'Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation', Computational Methods for Differential Equations, 7(1), pp. 54-68.
CHICAGO
S. R. Hejazi , E. Saberi and E. Lashkarian, "Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation," Computational Methods for Differential Equations, 7 1 (2019): 54-68,
VANCOUVER
Hejazi, S. R., Saberi, E., Lashkarian, E. Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation. Computational Methods for Differential Equations, 2019; 7(1): 54-68.
)
