Symmetry Reduction, Exact Solutions, and Conservation Laws of the ZK-BBM Equation

الملخص EN

Employing the classical Lie method, we obtain the symmetries of the ZK-BBM equation.

Applying the given Lie symmetry, we obtain the similarity reduction, group invariant solution, and new exact solutions.

We also obtain the conservation laws of ZK-BBM equation of the corresponding Lie symmetry.