Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1504-29
Keywords
Sawada-Kotera equation, Lie symmetry analysis, power series solution, hyperbolic function method, trial equation method, exact solution
First Page
158
Last Page
167
Recommended Citation
ZHANG, Y (2017). Lie symmetry analysis and exact solutions of the Sawada-Kotera equation. Turkish Journal of Mathematics 41 (1): 158-167. https://doi.org/10.3906/mat-1504-29
