Abstract
In this paper, we study a particular class of the generalized (2 + 1)-Zakharov-Kuznetsov (ZK) equation from the Lie group-theoretic point of view. The Lie point symmetry generators of the underlying equation are derived. We obtain the optimal system of one-dimensional subalgebras of the Lie symmetry algebras of the equation. These subalgebras are then used to reduce the underlying equation to partial differential equations (PDEs) having two independent variables. Furthermore, by studying the reduced PDEs utilizing their symmetry properties, we construct a number of symmetry reductions and exact group-invariant solutions to the underlying equation. A conserved density is also retrieved by the multiplier approach.