On the exact solutions of a modified Kortweg de Vries type equation and higher-order modified Boussinesq equation with damping term

Dimpho Mothibi, Chaudry Khalique
2013 Advances in Difference Equations  
In this paper, we obtain exact solutions of two nonlinear evolution equations, namely the modified Kortweg de Vries equation and the higher-order modified Boussinesq equation with damping term. The method employed to obtain the exact solutions is the (G /G)-expansion method. Traveling wave solutions of three types are obtained and these are the solitary waves, periodic and rational.
doi:10.1186/1687-1847-2013-166 fatcat:gybuwlsoendfbik7tucvf7uiiu