SYMMETRY ANALYSIS, CONSERVATION LAWS OF A TIME FRACTIONAL FIFTH-ORDER SAWADA-KOTERA EQUATION | Zendy

Zheng Xiao | Zendy; Long Wei | Zendy

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SYMMETRY ANALYSIS, CONSERVATION LAWS OF A TIME FRACTIONAL FIFTH-ORDER SAWADA-KOTERA EQUATION

Author(s) -

Zheng Xiao,

Long Wei

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017078

Subject(s) - noether's theorem , conservation law , mathematics , symmetry (geometry) , mathematical physics , partial differential equation , generalization , burgers' equation , ordinary differential equation , fractional calculus , transformation (genetics) , riemann hypothesis , differential equation , mathematical analysis , pure mathematics , lagrangian , biochemistry , chemistry , geometry , gene

In this paper, we intend to study the symmetry properties and conservation laws of a time fractional fifth-order Sawada-Kotera (S-K) equation with Riemann-Liouville derivative. Applying the well-known Lie symmetry method, we analysis the symmetry properties of the equation. Based on this, we find that the S-K equation can be reduced to a fractional ordinary differential equation with Erdelyi-Kober derivative by the similarity variable and transformation. Furthermore, we construct some conservation laws for the SK equation using the idea in the Ibragimov theorem on conservation laws and the fractional generalization of the Noether operators.

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