Department of Computer Science
Commutativity of the source generation procedure and integrable semi-discretizations: The two-dimensional Leznov lattice
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.
Source Publication Title
Journal of Physics A: Mathematical and Theoretical
Hu, Juan, Guo-Fu Yu, and Hon-Wah Tam. "Commutativity of the source generation procedure and integrable semi-discretizations: The two-dimensional Leznov lattice." Journal of Physics A: Mathematical and Theoretical 45.14 (2012): 145208-145208.