Abstract A new discrete spectral problem is introduced and the corresponding hierarchy of the lattice soliton equations are derived by means of the trace identity. We find a new Darboux transformation of the lattice soliton equation, through which the explicit solutions are shown.
Received: 25 April 2003
Revised: 16 September 2003
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the Research Foundation for the Outstanding Young and Middle-aged Scientists of Shandong Province, China.
Cite this article:
Ding Hai-Yong (丁海勇), Xu Xi-Xiang (徐西祥), Zhao Xiang-Dong (赵向东) A hierarchy of lattice soliton equations and its Darboux transformation 2004 Chinese Physics 13 125
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