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.
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.
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