Group Analysis of a Generalized KdV Equation

Authors

Motlatsi Molati, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa\\ Department of Mathematics and Computer Science, National University of Lesotho, P.O. Roma 180, Lesotho
Chaudry Masood Khalique

Author Country (or Countries)

Lesotho

Abstract

In this work the Korteweg-de Vries equation which contains an arbitrary function in the nonlinear term is considered and it is referred to as a generalized KdV. This equation has applications in nonlinear solitary wave phenomena in some areas of fluid mechanics, plasma physics and quantum mechanics. The Lie group analysis approach is employed to obtain the possible forms of the arbitrary parameter.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080620

Recommended Citation

Molati, Motlatsi and Masood Khalique, Chaudry (2014) "Group Analysis of a Generalized KdV Equation," Applied Mathematics & Information Sciences: Vol. 08: Iss. 6, Article 20.
DOI: http://dx.doi.org/10.12785/amis/080620
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss6/20