Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions

被引：21
|
作者：
Guo, Rui [1 ]
Zhao, Xiao-Juan [1 ]
机构：
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 84卷 / 04期
基金：
山西省青年科学基金; 中国国家自然科学基金;
关键词：
Discrete Hirota equation; Soliton; Discrete Darboux transformation;
D O I：
10.1007/s11071-016-2614-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Under investigation in this paper is the discrete Hirota equation which is a combination of discrete NLS and discrete complex modified KdV equations. The discrete spectral problem analysis has been made, and discrete Darboux transformation(DT) has been constructed based on discrete Lax pair for system (1.3). In addition, we have derived new discrete one-soliton solutions by using the obtained discrete DT for system (1.3). Figures have been plotted to display the dynamic features of discrete solitons.
引用
收藏
页码：1901 / 1907
页数：7
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