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

We solve the group classification problem for $2+1$ generalized quantum Zakharov-Kuznetsov equation. Particularly we consider equation $u_{t}+f\left( u\right) u_{z}+u_{zzz}+u_{xxz}=0$, and time-dependent $u_{t}+\delta \left( t\right) uu_{z}+\lambda u_{zzz}+\varepsilon u_{xxz}=0$% . Function $f\left( $ $\delta ,~\lambda $,~$\varepsilon are determine in order equations to admit additional Lie symmetries.\ Finally, apply invariants find similarity solutions