Document Type : Research Paper
Department of Mathematical Sciences, North-West University, Mmabatho, South Africa
Department of Mathematical Science, University of Botswana, Gaborone, Botswana
Department of Mathematics Science, University of South Africa, UNISA0003, South Africa
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.