Lie symmetry analysis of a class of time fractional nonlinear evolution systems

Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

We study a class of nonlinear evolution systems of time fractional partial differential equations using Lie symmetry analysis. We obtain not only infinitesimal symmetries but also a complete group classification and a classification of group invariant solutions of this class of systems. We find that the class of systems of differential equations studied is naturally divided into two cases on the basis of the type of a function that they contain. In each case, the dimension of the Lie algebra generated by the infinitesimal symmetries is greater than 2, and for this reason we present the structures and one-dimensional optimal systems of these Lie algebras. The reduced systems corresponding to the optimal systems are also obtained. Explicit group invariant solutions are found for particular cases.

本文言語英語
ページ(範囲)105-117
ページ数13
ジャーナルApplied Mathematics and Computation
329
DOI
出版ステータス出版済み - 7 15 2018

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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