Discrete fractional soliton dynamics of the fractional Ablowitz-Ladik model

被引：64
|
作者：
Fang, Jia-Jie [1 ]
Mou, Da-Sheng [1 ]
Zhang, Hui-Cong [1 ,2 ]
Wang, Yue-Yue [1 ]
机构：
[1] Zhejiang A&F Univ, Coll Sci, Linan 311300, Zhejiang, Peoples R China
[2] South China Normal Univ, Guangzhou 510631, Guangdong, Peoples R China
来源：
OPTIK | 2021年 / 228卷
基金：
中国国家自然科学基金;
关键词：
Time-fractional Ablowitz-Ladik model; Discrete soliton; Fractional exponential function approach;
D O I：
10.1016/j.ijleo.2020.166186
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A time-fractional Ablowitz-Ladik model is investigated by using the fractional exponential function approach, and bright and dark discrete soliton solutions, exponential discrete solutions and discrete unusual wave solutions are found. Dynamical evolutions of these fractional discrete solitons including bright and dark discrete solitons and two kinds of unusual waves are studied. When fractional order equals to 1, all fractional solutions obtained in this paper can degenerate into those in the literature.
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收藏
页数：9
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