Theoretical and Mathematical Physics

, Volume 144, Issue 1, pp 1004–1013 | Cite as

Elementary Darboux Transformations and Factorization

  • F. Musso
  • A. B. Shabat
Article

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 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • F. Musso
    • 1
    • 2
  • A. B. Shabat
    • 1
    • 2
    • 3
  1. 1.Dipartimento di Fisica E. AmaldiUniversita degli Studi di Roma TreRomeItaly
  2. 2.Istituto Nazionale di Fisica Nucleare, Sezione di Roma TreRomeItaly
  3. 3.Landau Institute for Theoretical PhysicsRASChernogolovkaRussia

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