Fifth-order generalized Heisenberg supermagnetic models

Abstract

This paper is concerned with the construction of the fifth-order generalized Heisenberg supermagnetic models. We also investigate the integrable structure and properties of the supersymmetric systems. We establish their gauge equivalent equations with the gauge transformation for two quadratic constraints, i.e., the super fifth-order nonlinear Schrödinger equation and the fermionic fifth-order nonlinear Schrödinger equation, respectively. Substituting (13) and (18) into (31), we findwhere Σ = diag(1, 1, 2).Repeating the process of constraint I, naturally, we obtain J (0) 0

On the Higher-Order Inhomogeneous Heisenberg Supermagnetic Models

“…Journal of Nonlinear Mathematical Physics (2021) 28:345-362 By virtue of the zero-curvature formulation of F and Ĝ , we derive the super fifthorder inhomogeneous NLSE with the constraint (i) (30)…”

“…Furthermore, the higher order and inhomogeneous HS models have been discussed and their integrable structure and properties have been also derived. Meanwhile, the authors [11,30] constructed the third-order, fourth-order and fifth-order generalized HS models from which their gauge equivalent equations have been presented. Moreover, Yan et al developed the inhomogeneous thirdorder and fourth-order generalized HS models [26,27], respectively.…”