Symmetry analysis for the $2+1$ generalized quantum Zakharov-Kuznetsov equation

Abstract

We solve the group classification problem for the 2+1 generalized quantum Zakharov-Kuznetsov equation.Particularly we consider the generalized equation ut + f (u) uz + uzzz + uxxz = 0, and the time-dependentare determine in order the equations to admit additional Lie symmetries. Finally, we apply the Lie invariants to find similarity solutions for the generalized quantum Zakharov-Kuznetsov equation.