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

descriptionPublicationkeyboard_double_arrow_right Article 18 Oct 2022Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Communications in Mathematics, volume Volume 31 (2023), Issue 1 (eissn: 2336-1298, Copyright policy )
Authors: Hariom Sharma; Rajan Arora;

doi: 10.46298/cm.10102 , 10.5281/zenodo.7151572 , 10.5281/zenodo.7115944 , 10.5281/zenodo.7151573 , 10.5281/zenodo.7115943

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

Abstract

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.

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