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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 149, Number 2, Pages 161–182
DOI: https://doi.org/10.4213/tmf4225 (Mi tmf4225) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Bi-Hamiltonian systems of natural form

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (556 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf4225
Abstract: We propose a new method for constructing integrable systems of natural form. In this method, integrals of motion are solutions of an overdetermined system of algebraic and partial differential equations obtained from the compatibility condition for Poisson tensors polynomial in the momenta and from the condition that the bi-Lagrangian distribution corresponding to the integrals of motion is invariant under the action of the recursion operator.
Keywords: integrable system, bi-Hamiltonian manifold, separation of variables.
Received: 21.03.2006
Revised: 14.06.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 149, Issue 2, Pages 1437–1456
DOI: https://doi.org/10.1007/s11232-006-0130-5
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “Bi-Hamiltonian systems of natural form”, TMF, 149:2 (2006), 161–182; Theoret. and Math. Phys., 149:2 (2006), 1437–1456
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v149/i2/p161
    • This publication is cited in the following 2 articles:
    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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