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Abstract

An explicit construction of the algebraic equations of the covering surfaces with the noncommutative monodromy groups is done by means of the corresponding homogeneous vector boundary Riemann-Hilbert problem solution. The direct applications concern soliton theory and Landau-Lifshitz equation, in particular. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)