Discrete zero curvature representations and infinitely many conservation laws for several 2+1 dimensional lattice hierarchies
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
In this article, several 2+1 dimensional lattice hierarchies proposed by Blaszak and Szum [J. Math. Phys. {\bf 42}, 225(2001)] are further investigated. We first describe their discrete zero curvature representations. Then, by means of solving the corresponding discrete spectral equation, we demonstrate the existence of infinitely many conservation laws for them and obtain the corresponding conserved densities and associated fluxes formulaically. Thus, their integrability is further confirmed.
Keywords
Cite
@article{arxiv.nlin/0311035,
title = {Discrete zero curvature representations and infinitely many conservation laws for several 2+1 dimensional lattice hierarchies},
author = {Zuo-Nong Zhu},
journal= {arXiv preprint arXiv:nlin/0311035},
year = {2007}
}
Comments
18 pages