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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 143–152
DOI: https://doi.org/10.4213/tmf1840 (Mi tmf1840) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Elementary Darboux Transformations and Factorization

F. Mussoa, A. B. Shabatba

a Università degli Studi Roma Tre
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf1840
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.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 1004–1013
DOI: https://doi.org/10.1007/s11232-005-0128-4
Bibliographic databases:
Language: Russian
Citation: F. Musso, A. B. Shabat, “Elementary Darboux Transformations and Factorization”, TMF, 144:1 (2005), 143–152; Theoret. and Math. Phys., 144:1 (2005), 1004–1013
Citation in format AMSBIB
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\paper Elementary Darboux Transformations and Factorization
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 1
\pages 1004--1013
\crossref{https://doi.org/10.1007/s11232-005-0128-4}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1840
  • https://doi.org/10.4213/tmf1840
  • https://www.mathnet.ru/eng/tmf/v144/i1/p143
    • This publication is cited in the following 1 articles:
    1. A. V. Domrin, “The Riemann Problem and Matrix-Valued Potentials with a Convergent Baker–Akhiezer Function”, Theoret. and Math. Phys., 144:3 (2005), 1264–1278  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:732
    Full-text PDF :321
    References:116
    First page:3
     
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