K. Kajiwara, Ya. Ohta, J. Satsuma, “<nobr>$q$</nobr>-Discretization of the two-dimensional Toda equations”, TMF, 1994, Volume 99, Number 3,Pages <nobr>390

This article is cited in 4 papers

$q$-Discretization of the two-dimensional Toda equations

K. Kajiwara^a, Ya. Ohta^b, J. Satsuma^c

^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.