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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 3, Pages 390–398
(Mi tmf1602)
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This article is cited in 4 scientific papers (total in 4 papers)
$q$-Discretization of the two-dimensional Toda equations
K. Kajiwaraa, Ya. Ohtab, J. Satsumac a Doshisha University
b Kyoto University
c University of Tokyo
Abstract:
$q$-Discrete versions of the two-dimensional Toda molecule equation and the two-dimensional Toda lattice equation are proposed through the direct method. Bäcklund transformation and Lax pair of the former are obtained. Moreover, reduction to the $q$-discrete cylindrical Toda equations is also discussed.
Citation:
K. Kajiwara, Ya. Ohta, J. Satsuma, “$q$-Discretization of the two-dimensional Toda equations”, TMF, 99:3 (1994), 390–398; Theoret. and Math. Phys., 99:3 (1994), 668–674
Linking options:
https://www.mathnet.ru/eng/tmf1602 https://www.mathnet.ru/eng/tmf/v99/i3/p390
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