Abstract
We solve the group classification problem for the 2 + 1 generalized quantum Zakharov-Kuznetsov equation. Particularly we consider the generalized equation , and the time-dependent Zakharov-Kuznetsov equation . Function and , are 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.
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