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Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 7، شماره 1، فروردین 2019، صفحه 54-68 اصل مقاله (395.46 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Seyed Reza Hejazi* ؛ Elaheh Saberi؛ Elham Lashkarian | ||
| Department of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Heat transfer equation؛ Lie symmetry؛ Partial differential equation؛ Hamiltonian equations؛ Conservation laws | ||
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آمار تعداد مشاهده مقاله: 680 تعداد دریافت فایل اصل مقاله: 564 |
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