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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 2, Pages 179–194
DOI: https://doi.org/10.4213/tmf1038 (Mi tmf1038) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Generalized Legendre transformations

V. E. Adlera, A. B. Shabatb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (310 kB) Citations (28)
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DOI: https://doi.org/10.4213/tmf1038
Abstract: We discuss a general theory of the integrable Toda lattices which are considered as Lagrangian dynamical systems with one continuous and one discrete time. The invariance with respect to an analog of the classical Legendre transformations implies their integrability.
Received: 04.06.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 2, Pages 935–948
DOI: https://doi.org/10.1007/BF02634155
Bibliographic databases:
Language: Russian
Citation: V. E. Adler, A. B. Shabat, “Generalized Legendre transformations”, TMF, 112:2 (1997), 179–194; Theoret. and Math. Phys., 112:2 (1997), 935–948
Citation in format AMSBIB
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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