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arxiv: 1612.04536 · v1 · pith:ZPSYCKV5new · submitted 2016-12-14 · 🌊 nlin.SI · gr-qc· math-ph· math.DG· math.MP

SDYM equations on the self-dual background

classification 🌊 nlin.SI gr-qcmath-phmath.DGmath.MP
keywords equationssdymbackgroundself-dualcasescombiningconformallyconsidered
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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. Generating differential form is defined, the dressing scheme is developed. Some special cases and reductions are considered.

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