Controllable Discrete Rogue Wave Solutions of the Ablowitz–Ladik Equation in Optics

被引：1
|
作者：
闻小永
机构：
[1] Department of Mathematics, School of Applied Science, Beijing Information Science and Technology University
[2] Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
来源：
Communications in Theoretical Physics | 2016年 / 66卷 / 07期
基金：
中国博士后科学基金; 北京市自然科学基金;
关键词：
symbolic computation Maple; Ablowitz–Ladik equation; rational solutions; discrete rogue wave solutions;
D O I：
暂无
中图分类号：
O241.8 [微分方程、积分方程的数值解法];
学科分类号：
070102 ;
摘要：
With the aid of symbolic computation Maple, the discrete Ablowitz–Ladik equation is studied via an algebra method, some new rational solutions with four arbitrary parameters are constructed. By analyzing related parameters, the discrete rogue wave solutions with alterable positions and amplitude for the focusing Ablowitz–Ladik equations are derived. Some properties are discussed by graphical analysis, which might be helpful for understanding physical phenomena in optics.
引用
收藏
页码：29 / 34
页数：6
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