This work considers a non-linear viscoelastic wave equation with
non-linear damping and source terms. We analyse the partial differential
equation from the point of view of Lie symmetries. Firstly, we apply
Lie's method to obtain new symmetries. Hence, we transform the partial
differential equation into an ordinary differential equation, by using
the symmetries. Moreover, new solutions are derived from the ordinary
differential equations. Finally, by using the direct method of
multipliers, we construct low-order conservation laws depending on the
form of the damping and source terms