Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

Commutativity of the source generation procedure and integrable semi-discretizations: The two-dimensional Leznov lattice

Language

English

Abstract

The source generation procedure (SGP) is applied to a y-directional discrete version and an x-directional discrete version of the Leznov lattice. Consequently, a y-discrete Leznov lattice equation with self-consistent sources (y-discrete Leznov ESCS) and an x-discrete Leznov ESCS are presented. Also utilizing the SGP, a new type of Leznov lattice equation with self-consistent sources (new Leznov ESCS) is derived. It is interesting that the two semi-discrete Leznov ESCS produced constitute a y-discretization for the Leznov ESCS given by Wang et al (2007 J. Phys. A: Math. Theor. 40 12691) and an x-discretization for the new Leznov ESCS, respectively. This means that the commutativity of SGP and integrable semi-discretizations is valid for the two-dimensional Leznov lattice equation. © 2012 IOP Publishing Ltd.

Publication Date

2012

Source Publication Title

Journal of Physics A: Mathematical and Theoretical

Volume

45

Issue

14

Start Page

145208

End Page

145208

Publisher

IOP Publishing

DOI

10.1088/1751-8113/45/14/145208

ISSN (print)

17518113

ISSN (electronic)

17518121

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