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Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice

Author: Hu Xing-Biao  

Publisher: Taylor & Francis Ltd

ISSN: 1023-6198

Source: Journal of Difference Equations and Applications, Vol.15, Iss.3, 2009-03, pp. : 233-252

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Abstract

In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully discrete version for the Leznov lattice are found. Backlund transformations, nonlinear superposition formulae and Lax pairs for these discrete versions are presented.