摘要
In this paper, based on the discrete zero curvature representation, isospectrai and nonisospectrai lattice hierarchies are proposed. By means of solving corresponding discrete spectral equations, we demonstrate the existence of infinitely many conservation laws for this two hierarchies and obtain the formulae of the corresponding conserved densities and associated fluxes.
基金
Supported by the Natural Science Foundation of Shanghai under Grant No.09ZR1412800
the Innovation Program of Shanghai Municipal Education Commission under Grant No.10ZZ131