基于变系数3+1维三次-五次复金兹堡-朗道方程的亮孤子及混合孤子传输特性

Propagation characteristics of bright and mixed solitons based on the variable coefficient(3+1)-dimensional cubic-quintic complex Ginzburg-Landau equation

变系数3+1维三次-五次复金兹堡-朗道(CGL)方程作为光孤子传输模型,不仅用五次项解释了现有模型所没有的物理意义,还拥有高维系统较低维系统更为丰富的非线性动力学特性.本文利用修正的Hirota方法,得到了变系数3+1维三次-五次CGL方程的解析孤子解.通过对非线性系数和光谱滤波项选取特定的参数,得到了一种特殊的混合孤子.分别讨论了改变非线性、光谱滤波和线性损失参数以及其他参数对孤子传输特性的影响,实现了对亮孤子和混合孤子传输的有效控制.本文结论对高维CGL系统在理论和实验研究方面具有一定的参考价值.

In the study of telecommunication system,the variable coefficient(3+1)-dimensional cubic-quintic complex Ginzburg-Landau equation is used as the optical solitons transmission model,which not only explains the physical meaning of the existing model with quintic terms,but also has more nonlinear dynamics characteristics of the higher dimensional system than the lower dimensional system.In this paper,the analytical soliton solutions of the(3+1)-dimensional cubic-quintic CGL equations with variable coefficients are obtained by using the modified Hirota method.By selecting certain parameters of the nonlinear coefficients and spectral filtering terms,a special kind of mixed soliton solution is obtained,which has the characteristics of bright soliton,dark soliton and kinked soliton at the same time.Subsequently,the influence of changing the nonlinear,spectral filtering,linear loss parameters and other parameters on the transmission characteristics of solitons is discussed respectively,so as to realize the control of optical solitons,which can not only control the propagation of optical solitons in different forms,but also can realize the adjustment of the amplitude and pulse width of the pulse and control the propagation direction and energy of the pulse for the mixed solitons of a particular form.The research results of high dimensional CGL system in this paper can be applied to nonlinear optical system,ultra-fast optical digital logic system and other different experiments and application fields.