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Covering Surfaces with Noncommutative Monodromy Groups and their Industrial Applications
Author(s) -
Dmitrieva Irina
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210280
Subject(s) - noncommutative geometry , monodromy , mathematics , homogeneous , riemann surface , pure mathematics , boundary value problem , boundary (topology) , algebraic number , riemann hypothesis , soliton , mathematical physics , mathematical analysis , algebra over a field , physics , quantum mechanics , nonlinear system , combinatorics
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)