Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation

	Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده ، انتشار آنلاین از تاریخ 13 آبان 1397
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


آمار تعداد مشاهده مقاله: 39

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