Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey-Dodd-Gibbon-Sawada-Kotera equation

In this paper, Lie classical approach is utilized for the symmetry reduction of time-fractional variable coefficient Caudrey-Dodd-Gibbon-Sawada-Kotera equation. The obtained symmetries and Erdelyi-Kober fractional differential operator are used to reduce the original nonlinear partial differential equation into nonlinear ordinary differential equation. The generalized Noether operator and new conservation theorem are exploited to obtain conservation laws of the governing equation. The power series solution is also derived for the considered equation. The obtained power series solution is investigated for the convergence and the obtained power series solution is convergent.