Symmetry reductions and exact solutions of a variable coefficient \((2+1)\)-Zakharov-Kuznetsov equation (Q1649195)

Summary: We study the generalized \((2+1)\)-Zakharov-Kuznetsov (ZK) equation of time dependent variable coefficients from the Lie group-theoretic point of view. The Lie point symmetry generators of a special form of the class of equations are derived. We classify the Lie point symmetry generators to obtain the optimal system of onedimensional subalgebras of the Lie symmetry algebras. These subalgebras are then used to construct a number of symmetry reductions and exact group-invariant solutions to the underlying equation.