eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2022-10-18
Volume 31 (2023), Issue 1
10.46298/cm.10102
10102
journal article
Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation
Hariom Sharma
1
Rajan Arora
0
Department of Applied Mathematics and Scientic Computing, Indian Institute of Technology Roorkee
Department of Mathematics, GLA University
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.
https://cm.episciences.org/10102/pdf