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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 1, Pages 1–11
DOI: https://doi.org/10.4213/faa278 (Mi faa278) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Legendre Transforms on a Triangular Lattice

V. E. Adler

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (890 kB) Citations (21)
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DOI: https://doi.org/10.4213/faa278
Abstract: We show that the condition of invariance with respect to generalized Legendre transforms effectively singles out a class of integrable difference equations on a triangular lattice; these equations are discrete analogs of relativistic Toda lattices. Some of these equations are apparently new. For one of them, higher symmetries are written out and the zero curvature representation is obtained.
Received: 21.08.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 1, Pages 1–9
DOI: https://doi.org/10.1007/BF02467062
Bibliographic databases:
Document Type: Article
UDC: 517.962.24
Language: Russian
Citation: V. E. Adler, “Legendre Transforms on a Triangular Lattice”, Funktsional. Anal. i Prilozhen., 34:1 (2000), 1–11; Funct. Anal. Appl., 34:1 (2000), 1–9
Citation in format AMSBIB
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\pages 1--11
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\transl
\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 1
\pages 1--9
\crossref{https://doi.org/10.1007/BF02467062}
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  • https://doi.org/10.4213/faa278
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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