Lattice soliton equation hierarchy and associated properties |
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Authors: | Zheng Xin-Qing Liu Jin-Yuan |
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Institution: | a Personnel Department, Weifang University of Science and Technology, Weifang 261041, China;b Department of Basic Courses, Weifang University of Science and Technology, Weifang 261041, China |
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Abstract: | As a new subject, soliton theory is shown to be an effective tool for describing and explaining the nonlinear phenomena in nonlinear optics, super conductivity, plasma physics, magnetic fluid, etc. Thus, the study of soliton equations has always been one of the most prominent events in the field of nonlinear science during the past few years. Moreover, it is important to seek lattice soliton equation and study its properties. In this study, firstly, we derive a discrete integrable system by use of Tu model. Then, some properties of the obtained equation hierarchies are discussed. |
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Keywords: | discrete integrable system Darboux transformation conservation laws |
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