Geodesic
Elementary Darboux Transformations and Factorization
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 143-152

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We prove a general theorem on factorization of polynomial matrices and use it to reduce polynomial Darboux matrices to linear ones. We discuss some new examples of linear Darboux matrices.
Mots-clés : Darboux transformations
Keywords: Yang-Baxter equation, Zakharov–Shabat spectral problem. 
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     author = {F. Musso and A. B. Shabat},
     title = {Elementary {Darboux} {Transformations} and {Factorization}},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a14/}
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F. Musso; A. B. Shabat. Elementary Darboux Transformations and Factorization. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 143-152. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a14/