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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
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 Bn, Cn, and Dn.
Keywords:
integrable systems, Hamilton–Jacobi equation, separation of variables, Toda chains.
Received: 19.05.2003
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
Linking options:
https://www.mathnet.ru/eng/tmf58https://doi.org/10.4213/tmf58 https://www.mathnet.ru/eng/tmf/v139/i2/p225
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