On conservation laws in affine Toda systems

Nirova, M. S.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 1.

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.

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

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