Symmetry reductions and exact solutions of a two-wave mode Korteweg-de Vrie equation

Document Type : Research Paper


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


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.