Lie Algebra Classification, Conservation Laws and Invariant Solutions for a Variant of the Levinson-Smith Equation
We obtain the optimal system's generating operators associated with the kind generalization of the Levinson Smith equation. Using those operators we characterize all invariant solutions associated with this equation. Moreover, we present the variational symmetries and the corresponding conservation laws, using Noether's theorem. Finally, we classify the Lie algebra associated with the given equation.