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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 3, Pages 387–402
DOI: https://doi.org/10.4213/tmf6960 (Mi tmf6960) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Semidiscrete Toda lattices

S. V. Smirnov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (481 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6960
Abstract: We study integrable cutoff constraints for a semidiscrete Toda lattice. We construct a Lax representation for a semidiscrete analogue of lattices corresponding to simple Lie algebras of the $C$ series. We introduce nonlocal variables in terms of which the symmetries of the infinite semidiscrete lattice can be expressed, and we classify cutoff constraints of a certain form compatible with the symmetries of the infinite lattice.
Keywords: semidiscrete Toda lattice, Lax representation, symmetry, integrable cutoff constraint.
Received: 13.01.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 3, Pages 1217–1231
DOI: https://doi.org/10.1007/s11232-012-0109-3
Bibliographic databases:
Language: Russian
Citation: S. V. Smirnov, “Semidiscrete Toda lattices”, TMF, 172:3 (2012), 387–402; Theoret. and Math. Phys., 172:3 (2012), 1217–1231
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6960
  • https://www.mathnet.ru/eng/tmf/v172/i3/p387
    • This publication is cited in the following 9 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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