Fermionic covariant prolongation structure theory for a (2+1)-dimensional super nonlinear evolution equation

In the framework of the fermionic covariant prolongation structure theory (PST), we investigate the integrability of a new (2+1)-dimensional super nonlinear evolution equation (NEE). The prolongation structure of the super integrable system is presented. Moreover, we derive the Backlund transformation of the super integrable system.