Fifth-order generalized Heisenberg supermagnetic models

Abstract This paper is concerned with the construction of the fifth-order generalized Heisenberg supermagnetic models. We investigate the integrable structure and properties of the supersymmetric systems. We also establish their gauge equivalent equations with the gauge transformation for two quadratic constraints, i.e., the super fifth-order nonlinear Schrodinger equation and the fermionic fifth-order nonlinear Schrodinger equation, respectively.