SOME NEW INTEGRABLE EQUATIONS FROM THE SELF-DUAL YANG-MILLS EQUATIONS

Using the symmetry reductions of the self-dual Yang-Mills (SDYM) equat ions in 2 + 2 dimensions, we introduce new integrable equations which are nonautonomous versions of the chiral model in 2 + 1 dimensions of the generalized nonlinear Schrodinger, Korteweg-de Vries, Garnier and Euler-Arnold equations. The Lax pairs for all these equations are deri ved by the symmetry reductions of the Lax pair for the SDYM equations.