Abstract
Self-dual Yang-Mills equations can be reduced to many nonlinear equations. A systematic procedure is presented in deriving the hidden symmetry algebras and the related Bäcklund transformations(BT). We find that by imposing the Riemann-Hilbert transform on the linearization equations of N>2 extended super Yang-Mills fields, the theory provides no more self-duality information in the super-space. The corresponding hidden symmetry algebra and BT are discussed within the super-space.
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