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A hierarchy of lattice soliton equations and its Darboux transformation |
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| Authors: | Ding Hai-Yong Xu Xi-Xiang and Zhao Xiang-Dong |
| Institution: | Department of Basic Course, Shandong University of Science and Technology, Taian 271019, China |
| 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. |
| Keywords: | discrete lattice equation trace identity Darboux transformation |
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