65th SAMS Congress
06-08 December 2022
Stellenbosch University
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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.