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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 3, Pages 440–456
DOI: https://doi.org/10.4213/tmf6101 (Mi tmf6101) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Darboux–Nijenhuis variables for open generalized Toda chains

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (463 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6101
Abstract: We consider the possibility of using the Sklyanin method to construct Darboux–Nijenhuis variables of special form in the example of generalized open Toda chains associated with classical root systems.
Keywords: integrable system, bi-Hamiltonian manifold, separation of variables.
Received: 09.11.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 3, Pages 1243–1257
DOI: https://doi.org/10.1007/s11232-007-0109-x
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “Darboux–Nijenhuis variables for open generalized Toda chains”, TMF, 152:3 (2007), 440–456; Theoret. and Math. Phys., 152:3 (2007), 1243–1257
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6101
  • https://doi.org/10.4213/tmf6101
  • https://www.mathnet.ru/eng/tmf/v152/i3/p440
    • This publication is cited in the following 6 articles:
    1. Pumei Zhang, “Algebraic Properties of Compatible Poisson Brackets”, Regul. Chaotic Dyn., 19:3 (2014), 267–288  mathnet  crossref  mathscinet
    2. Tsiganov A.V., “On Bi-Integrable Natural Hamiltonian Systems on Riemannian Manifolds”, J Nonlinear Math Phys, 18:2 (2011), 245–268  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Tsiganov A.V., “Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion”, Regul. Chaotic Dyn., 14:4-5 (2009), 541–549  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Tsiganov A.V., “The Poisson bracket compatible with the classical reflection equation algebra”, Regul. Chaotic Dyn., 13:3 (2008), 191–203  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Tsiganov A.V., “A family of the Poisson brackets compatible with the Sklyanin bracket”, J. Phys. A, 40:18 (2007), 4803–4816  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    6. Yuriy A. Grigoryev, Andrey V. Tsiganov, “On the Darboux–Nijenhuis Variables for the Open Toda Lattice”, SIGMA, 2 (2006), 097, 15 pp.  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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