A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation

被引：70
|
作者：
Xu, Xi-Xiang [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 251卷
关键词：
Integrable differential-difference equation; Deformed reduced semi-discrete Kaup-Newell equation; Lax pair; Darboux transformation; Exact solution; MASTER-SYMMETRIES; LATTICE EQUATIONS; SEMIDIRECT SUMS; TODA LATTICE; HIERARCHY; IDENTITY;
D O I：
10.1016/j.amc.2014.11.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A deformed reduced semi-discrete Kaup-Newell equation and its related integrable family are derived from discrete zero curvature equation. A Darboux transformation of Lax pair of this equation is established with the help of gauge transformation. By means of the resulting Darboux transformation, three exact solutions are given. (C) 2014 Elsevier Inc. All rights reserved.
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页码：275 / 283
页数：9
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