Geodesic
Integration of equation of Toda periodic chain kind
Ufa mathematical journal, Tome 9 (2017) no. 2, pp. 17-24

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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
Mots-clés : trace formulae. 
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     author = {B. A. Babajanov and A. B. Khasanov},
     title = {Integration of equation of  {Toda} periodic chain kind},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2017_9_2_a1/}
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B. A. Babajanov; A. B. Khasanov. Integration of equation of  Toda periodic chain kind. Ufa mathematical journal, Tome 9 (2017) no. 2, pp. 17-24. http://geodesic.mathdoc.fr/item/UFA_2017_9_2_a1/