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TMF, 2006, Volume 149, Number 1, Pages 32–46 (Mi tmf3826)  

This article is cited in 5 scientific papers (total in 5 papers)

Dressing chain for the acoustic spectral problem

V. E. Adler, A. B. Shabat

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We study iterations of the Darboux transformation for the generalized Schrödinger operator and consider applications to the Dym and Camassa–Holm equations.

Keywords: Darboux transformation, dressing chain, Dym equation, Camassa-Holm equation

DOI: https://doi.org/10.4213/tmf3826

Full text: PDF file (495 kB)
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English version:
Theoretical and Mathematical Physics, 2006, 149:1, 1324–1337

Bibliographic databases:

Received: 17.04.2006

Citation: V. E. Adler, A. B. Shabat, “Dressing chain for the acoustic spectral problem”, TMF, 149:1 (2006), 32–46; Theoret. and Math. Phys., 149:1 (2006), 1324–1337

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf3826
  • http://mi.mathnet.ru/eng/tmf/v149/i1/p32

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Vsevolod E. Adler, Alexey B. Shabat, “On the One Class of Hyperbolic Systems”, SIGMA, 2 (2006), 093, 17 pp.  mathnet  crossref  mathscinet  zmath
    2. Hernandez-Heredero, R, “Nonlocal symmetries and a Darboux transformation for the Camassa-Holm equation”, Journal of Physics A-Mathematical and Theoretical, 42:18 (2009), 182002  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Adler V.E., Shabat A.B., “Toward a Theory of Integrable Hyperbolic Equations of Third Order”, J. Phys. A-Math. Theor., 45:39 (2012), 395207  crossref  mathscinet  zmath  isi  elib  scopus
    4. Demskoi D.K., “Quad-Equations and Auto-Backlund Transformations of NLS-Type Systems”, J. Phys. A-Math. Theor., 47:16 (2014), 165204  crossref  mathscinet  zmath  adsnasa  isi  scopus
    5. Pavlos Kassotakis, “Invariants in Separated Variables: Yang–Baxter, Entwining and Transfer Maps”, SIGMA, 15 (2019), 048, 36 pp.  mathnet  crossref
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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