%0 Journal Article
%T On quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy
%A Xianguo Geng
%A Xin Zeng
%J Mathematics
%D 2013
%I arXiv
%X Resorting to the Lax matrix and elliptic variables, the discrete Chen-Lee-Liu hierarchy is decomposed into solvable ordinary differential equations. Based on the theory of algebraic curve, the continuous flow and discrete flow related to the discrete Chen-Lee-Liu hierarchy are straightened under the Abel-Jacobi coordinates. The meromorphic function $\phi$, the Baker-Akhiezer vector $\bar\psi $ and the hyperelliptic curve $\mathcal{K}_N$ are introduced, by which quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy are constructed according to the asymptotic properties and the algebro-geometric characters of $\phi,\ \bar\psi $ and $\mathcal{K}_N$.
%U http://arxiv.org/abs/1304.1607v2