Optical envelope patterns in nonlinear media modeled by the Lakshmanan-Porsezian-Daniel equation

被引:38
作者
Xin, Hua [1 ]
机构
[1] Northeast Petr Univ, Dept Math, Daqing 163318, Peoples R China
来源
OPTIK | 2021年 / 227卷
关键词
Envelope pattern; Complete discrimination system for polynomial; Lakshmanan-Porsezian-Daniel equation; Optical soliton; Topology stability; TRAVELING-WAVE SOLUTIONS; CUBIC NONLINEARITY; EXPANSION METHOD; SOLITONS; CLASSIFICATIONS; CONSTRUCTION;
D O I
10.1016/j.ijleo.2020.165839
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Lakshmanan-Porsezian-Daniel equation describes the dynamics of dispersion optical solitons in polarization-preserving fibers. We use a direct integral method to obtain a complete list of all envelope patterns and show a varied of dynamical properties of patterns, which include solitons, singularity, periodicity and double periodicity. In particular, the parameters condition of existence of each pattern is given clearly by which the topological stability of patterns is obtained.
引用
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页数:8
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