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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 2, Pages 225–244
DOI: https://doi.org/10.4213/tmf58 (Mi tmf58) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Toda Chains in the Jacobi Method

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (289 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf58
Abstract: We use the Jacobi method to construct various integrable systems, such as the Stдckel systems and Toda chains, related to various root systems. We find canonical transformations that relate integrals of motion for the generalized open Toda chains of types $B_n$, $C_n$, and $D_n$.
Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables, Toda chains.
Received: 19.05.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 2, Pages 636–653
DOI: https://doi.org/10.1023/B:TAMP.0000026181.79622.af
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “Toda Chains in the Jacobi Method”, TMF, 139:2 (2004), 225–244; Theoret. and Math. Phys., 139:2 (2004), 636–653
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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