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Open AccessArticle

Lie Symmetry Analysis, Analytical Solution, and Conservation Laws of a Sixth-Order Generalized Time-Fractional Sawada-Kotera Equation

School of Science, Jiangnan University, Wuxi 214122, China
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Symmetry 2019, 11(12), 1436; https://doi.org/10.3390/sym11121436
Received: 15 October 2019 / Revised: 13 November 2019 / Accepted: 20 November 2019 / Published: 22 November 2019
To discuss the invariance properties of a sixth-order generalized time-fractional Sawada-Kotera equation, on the basis of the Riemann-Liouville derivative, the Lie point symmetry and symmetry reductions are derived. Then the power series theory is used to construct the exact power series solution of the equation. Finally, the conservation laws for a sixth-order generalized time-fractional Sawada-Kotera equation are computed. View Full-Text
Keywords: sixth-order generalized time-fractional Sawada-Kotera equation; Lie symmetry analysis; symmetry reductions; power series method; conservation laws sixth-order generalized time-fractional Sawada-Kotera equation; Lie symmetry analysis; symmetry reductions; power series method; conservation laws
MDPI and ACS Style

Wang, Y.; Li, L. Lie Symmetry Analysis, Analytical Solution, and Conservation Laws of a Sixth-Order Generalized Time-Fractional Sawada-Kotera Equation. Symmetry 2019, 11, 1436.

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