Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation

In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All the geometry vector fields of seventh order KdV equations are presented. Using Lie transformation seventh order CDG equation is reduced into ordinary
differential equations. These ODEs are solved by power series method to obtain exact solution. The convergence of the power series is also discussed.