ADLER-KOSTANT-SYMS THEOREM AND SUPERSYMMETRIC INTEGRABLE SYSTEMS

The Adler, Kostant, and Syms theorem has been used to construct integrable nonlinear dynamical systems involving both bosonic and fermionic variables. Explicit forms of the equations are displayed in case of two super Lie Algebra OSPU(1,1/1) and S1(2/2). Integrability is proved by explicit construction of higher order conserved quantities.