Abstract

We consider the Recursion Operator approach to the soliton equations related to an auxiliary linear system introduced recently by Gerdjikov, Mikhailov, and Valchev (GMV system). We discuss the recursion operators obtained for the GMV system and show that they are particular cases of the generating operators related to a Zakharov-Shabat type linear system on the algebra $\mbox{\rm sl\,}(3,\mathbb {C})$sl(3,C) in pole gauge.

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