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

Authors : Youwei ZHANG

Pages : 158-167

View : 15 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

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