Analytic soliton solutions of cubic-quintic Ginzburg-Landau equation with variable nonlinearity and spectral filtering in fiber lasers
Analytic soliton solutions of cubic-quintic Ginzburg-Landau equation with variable nonlinearity and spectral filtering in fiber lasers
复制标题
光纤激光器中具有变非线性和光谱滤波的三次五次Ginzburg-Landau方程的解析孤子解
DOI：
10.1002/andp.201500322
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发表时间：
2016
影响因子：
2.4
通讯作者：
Liu Wen-Jun
中科院分区：
文献类型：
--
作者：
Huang Long-Gang;Pang Li-Hui;Wong Pring;Li Yan-Qing;Bai Shao-Yi;Lei Ming;Liu Wen-Jun
在光纤激光器中，三次-五次复Ginzburg-朗道方程（CGLE）的研究引起了人们的广泛关注。本文利用改进的Hirota方法得到了变系数三次五次CGLE的四类（扭结孤子、灰孤子、Y型孤子和组合孤子）精确孤子解.选取适当的参量研究了孤子的性质。讨论了非线性效应和光谱滤波效应对孤子解的影响。提出了放大孤子振幅和压缩孤子宽度的方法。采用分步傅里叶法和四阶龙格-库塔算法进行了数值模拟，验证了部分解析结果的正确性.提出了从变系数三次五次CGLE到常系数CGLE的变换。所得结果对光纤激光器中的孤子控制有一定的应用价值，对今后的实验研究有一定的指导意义。
In fiber lasers, the study of the cubic‐quintic complex Ginzburg‐Landau equations (CGLE) has attracted much attention. In this paper, four families (kink solitons, gray solitons, Y‐type solitons and combined solitons) of exact soliton solutions for the variable‐coefficient cubic‐quintic CGLE are obtained via the modified Hirota method. Appropriate parameters are chosen to investigate the properties of solitons. The influences of nonlinearity and spectral filtering effect are discussed in these obtained exact soliton solutions, respectively. Methods to amplify the amplitude and compress the width of solitons are put forward. Numerical simulation with split‐step Fourier method and fourth‐order Runge‐Kutta algorithm are carried out to validate some of the analytic results. Transformation from the variable‐coefficient cubic‐quintic CGLE to the constant coefficients one is proposed. The results obtained may have certain applications in soliton control in fiber lasers, and may have guiding value in experiments in the future.