Exact solutions and the conservation laws of the
(1+1)-dimensional Boussinesq equation
L.D. Moleleki\(^*\), C.
Majola, C.M. Khalique,
North West University
SAMS Subject Classification Number: 03
In this talk, we study a nonlinear evolution partial differential equation, namely, the (1+1)-dimensional Boussinesq equation. We use Lie symmetry method together with simplest equation method to find the exact solutions of the new (1+1)-dimensional Boussinesq equation. Furthermore, multiplier method will be used to construct the conservation laws of the new (1+1)-dimensional Boussinesq equation.