Conservation laws, modulation instability and solitons interactions for a nonlinear Schrodinger equation with the sextic operators in an optical fiber

被引：19
作者：
Lan, Zhong-Zhou [1 ,2 ]
Guo, Bo-Ling [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Inner Mongolia Univ Finance & Econ, Sch Comp Informat Management, Hohhot 010070, Peoples R China
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Optical fiber; Nonlinear Schrodinger equation; Modified Hirota method; Infinitely-many conservation laws; Modulation instability; Solitons; FERROMAGNETIC SPIN CHAIN; DISPERSIVE DIELECTRIC FIBERS; HIGHER-ORDER; EVOLUTION-EQUATIONS; BILINEAR-FORMS; WAVE SOLUTIONS; ROGUE WAVES; PULSES; TRANSMISSION; EXCITATIONS;
D O I：
10.1007/s11082-018-1597-7
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Under investigation in this paper is a sextic nonlinear Schrodinger equation, which describes the pulses propagating along an optical fiber. Based on the symbolic computation, Lax pair and infinitely-many conservation laws are derived. Via the modiied Hirota method, bilinear forms and multi-soliton solutions are obtained. Propagation and interactions of the solitons are illustrated graphically: Initial position and velocity of the soliton are related to the coefficient of the sixth-order dispersion, while the amplitude of the soliton is not affected by it. Head-on, overtaking and oscillating interactions between the two solitons are displayed. Through the asymptotic analysis, interaction between the two solitons is proved to be elastic. Based on the linear stability analysis, the modulation instability condition for the soliton solutions is obtained.
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页数：12
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