Title of article :
Symmetry reductions and exact solutions of a two-wave mode Korteweg-de Vrie equation
Author/Authors :
Majola, Christina Department of Mathematical Sciences - North-West University - Mmabatho, South Africa , Muatjetjeja, Ben Department of Mathematical Sciences - North-West University - Mmabatho, South Africa , Adem, Abdullahi R Department of Mathematics Science - University of South Africa, 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
Journal title :
International Journal of Nonlinear Analysis and Applications
