Seminar talk, 26 October 2016

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Speaker: Leonid Bogdanov

Title: SDYM equations on the self-dual background

Abstract:
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.

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