Higher-Order Inhomogeneous Generalized Heisenberg Supermagnetic Model

We construct the fourth-order inhomogeneous generalized HS model and investigate the integrability property of the supersymmetric integrable system. Moreover, in terms of the gauge transformation, we investigate the corresponding gauge equivalent counterparts under two constraints, i.e., the super inhomogeneous generalized nonlinear Schrödinger equation and the fermionic inhomogeneous generalized nonlinear Schrödinger equation.