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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 3, Pages 401–421
DOI: https://doi.org/10.4213/tmf28 (Mi tmf28) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Laplace Invariants of Two-Dimensional Open Toda Lattices

A. M. Gurievaa, A. V. Zhiberb

a Ufa State Aviation Technical University
b Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Full-text PDF (297 kB) Citations (19)
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DOI: https://doi.org/10.4213/tmf28
Abstract: We show that Toda lattices with the Cartan matrices $\mathrm{A}_{n}$, $\mathrm{B}_{n}$, $\mathrm{C}_{n}$ и $\mathrm{D}_{n}$ are Liouville-type systems. For these systems of equations, we obtain explicit formulas for the invariants and generalized Laplace invariants. We show how they can be used to construct conservation laws ($x$ and $y$ integrals) and higher symmetries.
Keywords: symmetries, integrals, Laplace invariants, generalized invariants.
Received: 24.03.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 3, Pages 338–355
DOI: https://doi.org/10.1023/B:TAMP.0000018451.74151.34
Bibliographic databases:
Language: Russian
Citation: A. M. Gurieva, A. V. Zhiber, “Laplace Invariants of Two-Dimensional Open Toda Lattices”, TMF, 138:3 (2004), 401–421; Theoret. and Math. Phys., 138:3 (2004), 338–355
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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