Darboux-Ba?cklund transformation, breather and rogue wave solutions for the discrete Hirota equation

被引：9
|
作者：
Zhu, Yujie [1 ,2 ]
Yang, Yunqing [1 ,2 ]
Li, Xin [3 ]
机构：
[1] Zhejiang Ocean Univ, Sch Informat Engn, Zhoushan 316022, Peoples R China
[2] Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Peoples R China
[3] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
来源：
OPTIK | 2021年 / 236卷
基金：
中国国家自然科学基金;
关键词：
Discrete Hirota equation; Darboux transformation; Pseudopotential; Breather wave solution; Rogue wave solution; SOLITON-SOLUTIONS; CONSERVATION; TRANSMISSION;
D O I：
10.1016/j.ijleo.2021.166647
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Based on the Lax pair, the pseudopotential and Darboux-Ba?cklund transformation of the discrete Hirota equation are given, from which a generalized form of nonlinear wave solutions is derived. By analyzing the properties of the pseudopotential, various types of localized wave solutions including n-direction, t-direction breather wave and rational solutions are obtained and the corresponding dynamical properties and evolutions are given. The obtained results may raise the possibility of related experiments and potential applications in nonlinear science fields, such as nonlinear optics, Bose-Einstein condensates and so on.
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收藏
页数：7
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