Elementary Darboux Transformations and Factorization |
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| Authors: | F. Musso A. B. Shabat |
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| Affiliation: | (1) Dipartimento di Fisica E. Amaldi, Universita degli Studi di Roma Tre, Rome, Italy;(2) Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy;(3) Landau Institute for Theoretical Physics, RAS, Chernogolovka, Russia |
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| Abstract: | 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.__________Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 1, pp. 143–152, July, 2005. |
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| Keywords: | Darboux transformations Yang-Baxter equation Zakharov-Shabat spectral problem |
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