Optical solitons and stability analysis for the generalized fourth-order nonlinear Schrodinger equation

被引：2
|
作者：
Tang, Xiao-Song [1 ]
Li, Biao [2 ]
机构：
[1] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China
[2] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2019年 / 33卷 / 27期
基金：
中国国家自然科学基金;
关键词：
A generalized fourth-order nonlinear Schrodinger equation; bright soliton; dark soliton; exact solution; modulational instability; BOUNDARY VALUE-PROBLEMS; ROGUE WAVES; SOLITARY WAVE; BREATHER WAVE; DYNAMICS; DARK;
D O I：
10.1142/S0217984919503330
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
We consider a generalized fourth-order nonlinear Schrodinger (NLS) equation. Based on the ansatz method, its bright, dark single-soliton is constructed under some constraint conditions. Furthermore, combining the Riccati equation extension approach, we also derive some exact singular solutions. With several parameters to play with, we display the dynamic behaviors of bright, dark single-soliton. Finally, the condition for the modulational instability (MI) of continuous wave solutions for the equation is generated. It is hoped that our results can help enrich the nonlinear dynamics of the NLS equations.
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页数：10
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