Discrete and Backlund (!) transformations of SDYM system

2005/04/01 by A. N. Leznov, Leznov, A. N.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Numerical methods for differential equations #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0504004

12 pages

arxiv created 2005/04/01 · arxiv updated 2009/12/01

Abstract

Symmetry of SDYM equations for "physically restricted solution" with hermitian group element G=G^H in representation of Yang is described. Such transformation D^B pass some PRS to the new one of the same kind. Transformation contain 2N_G arbirtrary functions of two independent arguments, where N_G dimension of the gauge semi-simple algebra. These functions may be considered as additional parameters typical for Backlund aproach and by this reason we use term Backlund for this transformation.

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