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Ufa Mathematical Journal, 2017, Volume 9, Issue 2, Pages 17–24
DOI: https://doi.org/10.13108/2017-9-2-17 (Mi ufa372) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Integration of equation of Toda periodic chain kind

B. A. Babajanov, A. B. Khasanov

Urgench State University named after Al-Khorezmi
English version PDF (303 kB) Citations (7)
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DOI: https://doi.org/10.13108/2017-9-2-17
Abstract: In this work we apply the method of the inverse spectral problem to integrating an equation of Toda periodic chain kind. For the one-band case we write out explicit formulae for the solutions to an analogue of Dubrovin system of equations and thus, for our problem. These solutions are expressed in term of Jacobi elliptic functions.
Keywords: Toda chain, discrete Hill operator, inverse spectral problem, trace formulae.
Received: 12.05.2016
Russian version:
Ufimskii Matematicheskii Zhurnal, 2017, Volume 9, Issue 2, Pages 17–24
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 34K29, 37K15, 39A10
Language: English
Original paper language: Russian
Citation: B. A. Babajanov, A. B. Khasanov, “Integration of equation of Toda periodic chain kind”, Ufimsk. Mat. Zh., 9:2 (2017), 17–24; Ufa Math. J., 9:2 (2017), 17–24
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Abstract page:329
    Russian version PDF:122
    English version PDF:25
    References:50
     
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