Novel asymmetric representation method for solving the higher-order Ginzburg-Landau equation

被引：19

作者：

Wong, Pring ^{[1
,2
]}

Pang, Lihui ^{[3
]}

Wu, Ye ^{[1
,2
]}

Lei, Ming ^{[1
,2
]}

Liu, Wenjun ^{[1
,2
,3
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, POB 122, Beijing 100876, Peoples R China

[3] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

来源：

SCIENTIFIC REPORTS | 2016年 / 6卷

基金：

中国国家自然科学基金;

关键词：

DISPERSIVE DIELECTRIC FIBERS; NONLINEAR-OPTICAL PULSES; TRANSMISSION;

D O I：

10.1038/srep24613

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In ultrafast optics, optical pulses are generated to be of shorter pulse duration, which has enormous significance to industrial applications and scientific research. The ultrashort pulse evolution in fiber lasers can be described by the higher-order Ginzburg-Landau (GL) equation. However, analytic soliton solutions for this equation have not been obtained by use of existing methods. In this paper, a novel method is proposed to deal with this equation. The analytic soliton solution is obtained for the first time, and is proved to be stable against amplitude perturbations. Through the split-step Fourier method, the bright soliton solution is studied numerically. The analytic results here may extend the integrable methods, and could be used to study soliton dynamics for some equations in other disciplines. It may also provide the other way to obtain two-soliton solutions for higher-order GL equations.

引用

页数：8

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