Document Type : Research Paper

Authors

• Christina Majola ¹
• Ben Muatjetjeja ^{1, 2}
• Abdullahi R. Adem ³

¹ Department of Mathematical Sciences, North-West University, Mmabatho, South Africa

² Department of Mathematical Science, University of Botswana, Gaborone, Botswana

³ Department of Mathematics Science, University of South Africa, UNISA0003, South Africa

Abstract

A two-wave mode Korteweg-de Vries equation is investigated by using Lie symmetry analysis. The similarity reductions and new exact solutions are obtained via the simplest equation method. Exact solutions including solitons are shown. In addition, the conservation laws are derived using the multiplier approach.

Keywords

• Two-wave mode Korteweg-de Vries equation
• Lie symmetry method
• Simplest equation method