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, YOUWEI
(2017)
"Lie symmetry analysis and exact solutions of the Sawada-Kotera equation,"
Turkish Journal of Mathematics: Vol. 41:
No.
1, Article 15.
https://doi.org/10.3906/mat-1504-29
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss1/15
