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arxiv: math-ph/0504004 · v1 · submitted 2005-04-01 · 🧮 math-ph · math.MP

Discrete and Backlund (!) transformations of SDYM system

classification 🧮 math-ph math.MP
keywords backlundtransformationfunctionssdymadditionalalgebraaproacharbirtrary
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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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