球上扩散方程的精确解

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-05-09 DOI:10.22034/CMDE.2021.44459.1876

Yadollah AryaNejad

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引用次数: 0

摘要

‎我们检查扩散‎ ‎球面方程‎. ‎从这个意义上说‎, ‎我们回答对称性分类的问题‎. ‎我们提供对称代数，并建立‎ ‎李子代数的最优系统‎. ‎我们证明了方程的一维最优系统‎.（4），‎空间正在扩展Ricci孤子‎. ‎对与子代数相关的相似性的约简进行了分类‎, ‎和扩散的一些精确不变解‎ ‎给出了球面上的方程‎.

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Exact solutions of Diffusion Equation on sphere

‎We examine the diffusion‎ ‎equation on the sphere‎. ‎In this sense‎, ‎we answer 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.(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.

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来源期刊

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks