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., 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., 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.
VANCOUVER
Hejazi, S., 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.
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