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

Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)105-117
Number of pages13
JournalApplied Mathematics and Computation
Volume329
DOIs
Publication statusPublished - Jul 15 2018

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Optimal systems
Lie Symmetry
Evolution System
Group Invariant Solutions
Algebra
Fractional
Optimal System
Nonlinear Systems
Lie Algebra
Partial differential equations
Group Classification
Symmetry
Differential equations
One-dimensional System
Fractional Differential Equation
System of Differential Equations
Partial differential equation
Class

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

Lie symmetry analysis of a class of time fractional nonlinear evolution systems. / Dorjgotov, Khongorzul; Ochiai, Hiroyuki; Zunderiya, Uuganbayar.

In: Applied Mathematics and Computation, Vol. 329, 15.07.2018, p. 105-117.

Research output: Contribution to journalArticle

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