The multi-positon and breather positon solutions for the higher-order nonlinear Schrödinger equation in optical fibers

被引：0
|
作者：
Zhang, Xi [1 ]
Wang, Yu-Feng [1 ]
Yang, Sheng-Xiong [1 ]
机构：
[1] Minzu Univ China, Beijing 100081, Peoples R China
来源：
PHYSICA SCRIPTA | 2024年 / 99卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Higher-order nonlinear Schr & ouml; dinger equation; Modulation instability; Positons; Breather positons; N-SOLITON SOLUTION; KDV EQUATIONS; INSTABILITY; MODULATION;
D O I：
10.1088/1402-4896/ad741a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Under investigation in this paper is the higher-order nonlinear Schr & ouml;dinger equation, which can imitate the ultrashort pulses propagation in optical fibers. The modulation instability is analyzed based on the plane-wave solution. With the help of the generalized Darboux transformation, the second-, third- and fourth-order positon solutions are constructed. Furthermore, the second-, third- and fourth-order breather positon solutions are obtained, and the influences of parameters for the characteristics of solutions are analyzed.
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页数：9
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