Original scientific paper
Kowalevskaya's exponents, auto-Bäcklund transformation and on the nonintegrability of the Yang-Mills system
Balliappadath V. Baby
; International Centre for Theoretical Physics, 34100 Trieste, Italy
Abstract
We study the algebraically completely integrable property of the recently suggested Yang-Mills system. Using the Kowalevskaya's exponents as the criteria for the algebraic integrabillty, we found our results are not contradicting the earlier observations of nonintegrability of this system. Moreover, we found a very small subsystem of this YM theory which is integrable and possesses auto-Bäcklund transformation.
Keywords
Hrčak ID:
331486
URI
Publication date:
7.5.1989.
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