This article is cited in 2 papers

Elementary Darboux Transformations and Factorization

F. Musso^a, A. B. Shabat<sup>ba

a</sup> Università degli Studi Roma Tre
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

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.

Keywords: Darboux transformations, Yang-Baxter equation, Zakharov–Shabat spectral problem.

DOI: 10.4213/tmf1840

 English version: Theoretical and Mathematical Physics, 2005, 144:1, 1004–1013

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