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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 038, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.038 (Mi sigma164) 		 
Towards Finite-Gap Integration of the Inozemtsev Model

Kouichi Takemura

Department of Mathematical Sciences, Yokohama City University, 22-2 Seto, Kanazawa-ku, Yokohama 236-0027, Japan
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DOI: https://doi.org/10.3842/SIGMA.2007.038
Abstract: The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero–Moser–Sutherland model and the Inozemtsev model, and discuss some approaches to the finite-gap integration for multivariable models.
Keywords: finite-gap integration; Inozemtsev model; Heun's equation; Darboux transformation.
Received: October 31, 2006; in final form February 7, 2007; Published online March 2, 2007
Bibliographic databases:
Document Type: Article
MSC: 81R12; 33E10; 34M35
Language: English
Citation: Kouichi Takemura, “Towards Finite-Gap Integration of the Inozemtsev Model”, SIGMA, 3 (2007), 038, 17 pp.
Citation in format AMSBIB
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