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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2011 Volume 13, Number 1, Pages 59–70 (Mi vmj376)

On conservation laws in affine Toda systems

M. S. Nirova

Kabardino-Balkarian State University, Mathematical Department, RUSSIA, KBR, Nalchik

Abstract: With the help of certain matrix decomposition and projectors of special forms we show that non-Abelian Toda systems associated with loop groups possess infinite sets of conserved quantities following from essentially different conservation laws.

Key words: non-Abelian Toda systems, loop groups, symmetries and conservation laws.

UDC: 512.81

Received: 29.09.2010

Language: English



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