- Turkish Journal of Mathematics
- Vol: 41 Issue: 1
- Lie symmetry analysis and exact solutions of the Sawada-Kotera equation
Lie symmetry analysis and exact solutions of the Sawada-Kotera equation
Authors : Youwei Zhang
Pages : 158-167
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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