Analytic solutions for the generalized complex Ginzburg–Landau equation in fiber lasers
作者： Wenjun Liu , Weitian Yu , Chunyu Yang , Mengli Liu , Yujia Zhang
DOI: 10.1007/S11071-017-3636-5
关键词:
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 researchers in ultrafast optics. In this paper, analytic solutions GCGLE are obtained via modified Hirota bilinear method. Kink waves period presented by selecting relevant parameters. The influence related parameters on them is analyzed studied. results indicate that desired pulses demonstrated effectively controlling dispersion nonlinearity lasers.
springer.com
sci-hub.se 参考文章(38)
Pring Wong, Li-Hui Pang, Long-Gang Huang, Yan-Qing Li, Ming Lei, Wen-Jun Liu, Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg–Landau equation Annals of Physics. ,vol. 360, pp. 341- 348 ,(2015) , 10.1016/J.AOP.2015.05.018
R. Szmytkowski, Solution of the momentum-space Schrödinger equation for bound states of the N-dimensional Coulomb problem (revisited) arXiv: Quantum Physics. ,(2011) , 10.1002/ANDP.201100330
Donglong Li, Zhengde Dai, Xuhong Liu, Long time behaviour for generalized complex Ginzburg–Landau equation Journal of Mathematical Analysis and Applications. ,vol. 330, pp. 934- 948 ,(2007) , 10.1016/J.JMAA.2006.07.095
L. G. Huang, W. J. Liu, P. Huang, N. Pan, M. Lei, Soliton amplification in gain medium governed by Ginzburg–Landau equation Nonlinear Dynamics. ,vol. 81, pp. 1133- 1141 ,(2015) , 10.1007/S11071-015-2055-8
Liang-Qian Kong, Chao-Qing Dai, Some discussions about variable separation of nonlinear models using Riccati equation expansion method Nonlinear Dynamics. ,vol. 81, pp. 1553- 1561 ,(2015) , 10.1007/S11071-015-2089-Y
E. Kengne, A. Lakhssassi, R. Vaillancourt, Wu-Ming Liu, Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions Journal of Mathematical Physics. ,vol. 53, pp. 123703- ,(2012) , 10.1063/1.4768460
T. Dobrowolski, The studies on the motion of the sine‐Gordon kink on a curved surface Annalen der Physik. ,vol. 522, pp. 574- 583 ,(2010) , 10.1002/ANDP.201000048
E. Kengne, R. Vaillancourt, Modulational stability of solitary states in a lossy nonlinear electrical line Canadian Journal of Physics. ,vol. 87, pp. 1191- 1202 ,(2009) , 10.1139/P09-072
Jungho Park, , Bifurcation and stability of the generalized complex Ginzburg--Landau equation Communications on Pure and Applied Analysis. ,vol. 7, pp. 1237- 1253 ,(2008) , 10.3934/CPAA.2008.7.1237
Wen-Jun Liu, Bo Tian, Yan Jiang, Kun Sun, Pan Wang, Min Li, Qi-Xing Qu, Soliton solutions and Bäcklund transformation for the complex Ginzburg–Landau equation Applied Mathematics and Computation. ,vol. 217, pp. 4369- 4376 ,(2011) , 10.1016/J.AMC.2010.10.021