Analytic solutions for the generalized complex Ginzburg-Landau equation in fiber lasers

被引：141

作者：

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

Yu, Weitian ^{[1
,2
]}

Yang, Chunyu ^{[1
,2
]}

Liu, Mengli ^{[1
,2
]}

Zhang, Yujia ^{[1
,2
]}

Lei, Ming ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, POB 122, 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：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 04期

关键词：

Soliton; Symbolic computation; Generalized complex Ginzburg-Landau equation; Modified Hirota method; SCHRODINGER-EQUATION; STABILITY; OSCILLATORS; IMPACT; STATES;

D O I：

10.1007/s11071-017-3636-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Generalized complex Ginzburg-Landau equation (GCGLE) can be used to describe the nonlinear dynamic characteristics of fiber lasers and has riveted much attention of researchers in ultrafast optics. In this paper, analytic solutions of the GCGLE are obtained via the modified Hirota bilinear method. Kink waves and period waves are presented by selecting the relevant parameters. The influence of the related parameters on them is analyzed and studied. The results indicate that the desired pulses can be demonstrated by effectively controlling the dispersion and nonlinearity of fiber lasers.

引用

页码：2933 / 2939

页数：7

共 37 条

[11] Chirped-pulse oscillators: A unified standpoint [J].