Seminar talk, 26 October 2016

From Geometry of Differential Equations
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Speaker: Leonid Bogdanov

Title: SDYM equations on the self-dual background

We introduce the technique combining the features of integration schemes for SDYM equations and multidimensional dispersionless integrable equations to get SDYM equations on the conformally self-dual background and the corresponding hierarchy. Lax pair is introduced, generating differential form for the hierarchy is defined, the dressing scheme is developed. Some special cases and reductions are considered.

References:, local copy