Exact solutions of diffusion equation on sphere

AryaNejad, Yadollah

doi:10.22034/cmde.2021.44459.1876

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	Exact solutions of diffusion equation on sphere
Computational Methods for Differential Equations
مقاله 17، دوره 10، شماره 3، مهر 2022، صفحه 789-798 اصل مقاله (350.43 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.44459.1876
نویسنده
Yadollah AryaNejad^*
Department of Mathematics, Payame Noor university, 19395-4697, Tehran, Iran.
چکیده
We examine the diffusion equation on the sphere. In this sense, we answer the question of the symmetry classification. We provide the algebra of symmetry and build the optimal system of Lie subalgebras. We prove for one-dimensional optimal systems of Eq. (1.4), space is expanding Ricci solitons. Reductions of similarities related to subalgebras are classified, and some exact invariant solutions of the diffusion equation on the sphere are presented.
کلیدواژه‌ها
Ricci soliton؛ Lie Subalgebras؛ Reduction equations؛ Diffusion equation

مراجع
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Exact solutions of diffusion equation on sphere