Gauge Equivalence, Supersymmetry and Classical Solutions of Ospu(1,1/1) Heisenberg Model and Nonlinear Schroedinger Equation

摘要

An integrable generalization of the continuous classical O(2,1) pseudospin Heisenberg model for the case of the ospu (1,1/1) superalgebra is constructed. The gauge equivalence of the constructed model and the corresponding nonlinear Schroedinger equation (NLSE) is established. We indicate a method of generating classical solutions using the global ospu (1,1/1) supersymmetry. The relationship between solutions of O(2,1) HN and superpartners of NLSE is obtained. 19 refs. (Atomindex citation 19:096505)