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.
Digital Object Identifier (DOI)
Molati, Motlatsi and Masood Khalique, Chaudry
"Group Analysis of a Generalized KdV Equation,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 20.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss6/20