Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641071 | Journal of Computational and Applied Mathematics | 2009 | 12 Pages |
Abstract
Two hierarchies of integrable positive and negative lattice equations in connection with a new discrete isospectral problem are derived. It is shown that they correspond to positive and negative power expansions respectively of Lax operators with respect to the spectral parameter, and each equation in the resulting hierarchies is Liouville integrable. Moreover, infinitely many conservation laws of corresponding positive lattice equations are obtained in a direct way. Finally, a Darboux transformation is established with the help of gauge transformations of Lax pairs for the typical lattice soliton equations, by means of which the exact solutions are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xin-Yue Li, Yuan-Qing Zhang, Qiu-Lan Zhao,