Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms

Abstract

In this work, we study some Boussinesq equations with damping term from the point of view of the Lie theory. We derive the classical Lie symmetries admitted by the equation as well as the reduced ordinary differential equations. We also present some exact solutions. Some nontrivial conservation laws for these equations are constructed by using the multiplier method.