# A Lie Symmetry Solutions of Sawada-Kotera Equation

### Abstract

In this article, the Lie Symmetry Analysis is applied in finding the symmetry solutions of the fifth order Sawada-Kotera equation. The technique is among the most powerful approaches currently used to achieveprecise solutions of the partial differential equations that are nonlinear. We systematically show the procedure to obtain the solution which is achieved by developing infinitesimal transformation, prolongations, infinitesimal generatorsand invariant transformations hence symmetry solutions of the fifth order Sawada-Kotera equation.

** Key Words**- Lie symmetry analysis. Sawada-Kotera equation. Symmetry groups. Prolongations. Invariant solutions. Power series solutions. Symmetry solutions.

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*JOURNAL OF ADVANCES IN MATHEMATICS*,

*17*, 1-11. https://doi.org/10.24297/jam.v17i0.8364

Copyright (c) 2019 Winny Chepngetich Bor, Owino M. Oduor, John K. Rotich

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