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Canonical gauge equivalences of the sAKNS and sTB hierarchies

Jiin-Chang Shaw, Ming-Hsien Tu

solv-intarXiv:solv-int/9712009

Abstract

We study the gauge transformations between the supersymmetric AKNS (sAKNS) and supersymmetric two-boson (sTB) hierarchies. The Hamiltonian nature of these gauge transformations is investigated, which turns out to be canonical. We also obtain the Darboux-Backlund transformations for the sAKNS hierarchy from these gauge transformations.

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