• 1 Department of Mathematics, GLA University
• 2 Department of Applied Mathematics and Scientic Computing, Indian Institute of Technology Roorkee

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.

• 22E05 - Local Lie groups
• 35B06 - Symmetries, invariants, etc. in context of PDEs
• 35G20 - Nonlinear higher-order PDEs
• 35Q53 - KdV equations (Korteweg-de Vries equations)
• 35Q92 - PDEs in connection with biology, chemistry and other natural sciences

• 1 Zenodo