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Claim

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

Lie symmetry analysis of seventh order Caudrey-Dodd-Gibbon equation
descriptionPublicationkeyboard_double_arrow_right Article 18 Oct 2022 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Communications in Mathematics, volume Volume 31 (2023), Issue 1 (eissn: 2336-1298, Copyright policy )
Authors: Sharma, Hariom; Arora, Rajan;

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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Keywords

KdV equations (Korteweg-de Vries equations), Lie symmetry analysis, PDEs in connection with biology, chemistry and other natural sciences, Nonlinear higher-order PDEs, Caudrey-Dodd-Gibbon equation, power series, Symmetries, invariants, etc. in context of PDEs, Local Lie groups

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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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