Geodesic
$q$-Discretization of the two-dimensional Toda equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 390-398 Cet article a éte moissonné depuis la source Math-Net.Ru

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$q$-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. 
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K. Kajiwara; Ya. Ohta; J. Satsuma. $q$-Discretization of the two-dimensional Toda equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 390-398. http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a5/

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