Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
نویسندگان
چکیده
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. Bäcklund transformations, nonlinear superposition formulae and Lax pairs for these discrete versions are presented. Mathematics Subject Classification (2000). 35Q58, 37K40
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