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.
Sawada-Kotera equation, Lie symmetry analysis, power series solution, hyperbolic function method, trial equation method, exact solution
"Lie symmetry analysis and exact solutions of the Sawada-Kotera equation,"
Turkish Journal of Mathematics: Vol. 41:
1, Article 15.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss1/15