Abstract
The soliton equations, related to the generalized Zakharov-Shabat system for the semisimple Lie algebra ɡ are considered. The dressing Zakharov-Shabat factor is constructed explicitly for any irrep V(ω) of ɡ, and a V(ω)-independent expression for the soliton solutions is obtained. The involutivity of the local conserved quantities is proved, using the classical r -matrix approach.
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