广义耦合非线性薛定谔方程的N-孤子解  

N-soliton Solution of the Generalized Coupled Nonlinear Schrodinger Equation

作　　者：房文静 宋丽军[1] FANG Wen-jing;SONG Li-jun(College of Physics and Electronic Engineering,Shanri University,Taiyuan,030006,China)

机构地区：[1]山西大学物理电子工程学院,山西太原030006

出　　处：《量子光学学报》2020年第3期291-301,共11页Journal of Quantum Optics

基　　金：山西省自然科学基金(201801D121119)。

摘　　要：基于广义耦合非线性薛定谔方程,采用Hirota双线性方法,得到了方程的N-孤子解,并详细研究了各个参数对孤子解脉冲传输特性的影响.结果表明:系统参数a、b、c主要影响孤子的振幅大小;参数ki的实部对孤子的振幅和脉宽均有一定程度的影响,而虚部则决定孤子的偏移速度的大小;参数ζ的改变使孤子解的p,q分量的传输特性不再相同,且各孤子的能量发生重新分配.Based on generalized coupled nonlinear Schrodinger equation,the N-soliton solutions are obtained by using the Hirota bilinear method.And the influence of various parameters on the N-soliton solution is analyzed in detail.The results show that the system parameters a,b and c mainly affect the amplitude of the soliton.The real part of parameter ki has a certain influence on the amplitude and pulse width of the soliton,while the imaginary part determines the offset speed of the soliton.The change of parameter ζ makes the transmission characteristics of the p and q components of the soliton solution different,and the energy of each soliton is redistributed.

关 键 词：耦合非线性薛定谔方程 HIROTA双线性方法 N-孤子解 

分 类 号：O436[机械工程—光学工程]