Lie symmetry analysis and exact solutions of the Sawada-Kotera equation

Authors: YOUWEI ZHANG

Abstract: In the present paper, the Sawada-Kotera equation is considered by Lie symmetry analysis. All of the geometric vector fields to the Sawada-Kotera equation are obtained, and then the symmetry reductions and exact solutions of the Sawada-Kotera equation are investigated. Our results show that symmetry analysis is a very efficient and powerful technique in finding the solution of the proposed equation.

Keywords: Sawada-Kotera equation, Lie symmetry analysis, power series solution, hyperbolic function method, trial equation method, exact solution

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