Abstract
Using the symmetry reductions of the self-dual Yang-Mills (SDYM) equations 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 Schrödinger, Korteweg-de Vries, Garnier and Euler-Arnold equations. The Lax pairs for all these equations are derived by the symmetry reductions of the Lax pair for the SDYM equations.
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