Geodesic
Bäcklund transformations for the difference Hirota equation and the
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 74-93

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We consider $GL(K\mid M)$-invariant integrable supersymmetric spin chains with twisted boundary conditions and demonstrate the role of Bäcklund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. We show that the nested Bethe ansatz technique is equivalent to a chain of successive Bäcklund transformations "undressing" the original problem to a trivial one.
Keywords: integrable nonlinear difference equation, Bäcklund transformation, integrable supersymmetric spin chain, Bethe ansatz. 
A. V. Zabrodin. Bäcklund transformations for the difference Hirota equation and the. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 74-93. http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a6/
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