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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 121, Number 2, Pages 271–284
DOI: https://doi.org/10.4213/tmf808
(Mi tmf808)
 

This article is cited in 79 scientific papers (total in 79 papers)

Discrete analogues of the Liouville equation

V. E. Adler, S. Ya. Startsev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
References:
Abstract: The notion of Laplace invariants is generalized to lattices and discrete equations that are difference analogues of hyperbolic partial differential equations with two independent variables. The sequence of Laplace invariants satisfies the discrete analogue of the two-dimensional Toda lattice. We prove that terminating this sequence by zeros is a necessary condition for the existence of integrals of the equation under consideration. We present formulas for the higher symmetries of equations possessing such integrals. We give examples of difference analogues of the Liouville equation.
Received: 16.02.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 121, Issue 2, Pages 1484–1495
DOI: https://doi.org/10.1007/BF02557219
Bibliographic databases:
Language: Russian
Citation: V. E. Adler, S. Ya. Startsev, “Discrete analogues of the Liouville equation”, TMF, 121:2 (1999), 271–284; Theoret. and Math. Phys., 121:2 (1999), 1484–1495
Citation in format AMSBIB
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\pages 1484--1495
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  • https://www.mathnet.ru/eng/tmf/v121/i2/p271
  • This publication is cited in the following 79 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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