脉冲演化的规律遵循非线性薛定谔方程（NLSE）。
The Non-linear Schrodinger Equation (NLSE) can be used to describe the distortion of optical pulses.
光束在非局域非线性介质中传输由非局域非线性薛定谔方程描述。
The propagation of optical beams in nonlocal nonlinear media is modeled by the nonlocal nonlinear Schrdinger equation.
本人首先用此方法处理了自散焦非线性薛定谔方程的孤子微扰问题。
I tackle the perturbation problem of the nonlinear Schrodinger equation because of its importance.
微商非线性薛定谔方程(DNLSE)是有众多物理应用的可积方程。
The derivative nonlinear Schrodinger equation (DNLSE) is an integrable equation of many physical applications.
通常是在时域上求解非线性薛定谔方程来研究光纤中超短光脉冲传输特性。
Nonlinear Schrdinger equation in the time domain is often solved, when ultrashort pulses are propagated in fibers.
本文将协变延拓结构理论首次应用于非均匀两分量耦合非线性薛定谔方程组。
In this paper, for the first time, the covariant prolongation structure theory is applied to coupled inhomogeneous nonlinear Schrodinger equations.
把非线性薛定谔方程转化成二阶差分方程，通过迭代此差分方程得到透射谱。
The nonlinear Schrdinger equation leads to a second order nonlinear difference equation, and we obtain transmission spectrum of wave by iterating the difference equation.
用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性。
The steady solution and its stability of Nonlinear Schrdinger Equation (NLSE) are studied by means of traveling wave transformation and bifurcation theory.
从非线性薛定谔耦合方程出发，利用分步傅立叶的方法得到了脉冲的动力学方程。
Stemming from the coupled nonlinear Schrdinger equation, we use the split-step Fourier transforms(SSFT) to study the factors which influence the signal pulse's transmission.
光束在非局域非线性介质中传输时遵循非局域非线性薛定谔方程(NNLSE)。
The propagation of the optical beam in the nonlocal nonlinear media is governed by the nonlocal nonlinear Schrdinger equation (NNLSE).
本文利用变分原理，通过非线性薛定谔方程，导出光纤中传输的光学孤子相互作用。
The interaction between two optical soliton is derived from nonlinear Schrodinger equation by variational approach.
利用非线性薛定谔方程和速率方程，研究了啁啾脉冲在增益介质中多程放大的特性。
The multipass amplification characters of the chirped pulse in gain medium were studied with the Schrdinger equation and population equation.
本文采用分步傅立叶变换法求解耦合非线性薛定谔方程，对偏振模色散进行了数值模拟。
In this thesis the coupled nonlinear Schrodinger equation is solved by means of split-step Fourier transform.
第五章我们运用小幅度近似方法求解高阶非线性薛定谔方程，得出了它的亮、暗孤子解。
We solve the higher order nonlinear Schrodinger equation by means of the small amplitude approximate method and present the bright and dark solitons solutions in chapter 5.
本文将结合分步傅里叶方法和小信号分析法来求解复杂的非线性薛定谔方程(NLSE)。
This paper will use small signal analysis and split-step Fourier to solve the complex nonlinear Schrodinger equation (NLSE).
从非线性薛定谔方程出发，研究了初始非线性频率啁啾对二阶孤子脉冲传输行为的影响。
It is discussed the influence of nonlinear frequency chirp to the transmission of 2nd-soliton in optical fibers by solving nonlinear Schrdinger equation.
人们熟知，由非线性薛定谔(NLS)方程描述的光学孤子可以在单模光纤中稳定地传输。
It is well-known that optical soliton described by a nonlinear Schrodinger (NLS) equation may propagate stably in single-mode optical fiber.
从非线性薛定谔方程出发得到了色散缓变光纤中交叉相位调制(XPM)不稳定性的增益谱。
Modulation instability gain spectrum resulted from cross-phase modulation (XPM) in decreasing dispersion fiber (DDF) is presented from nonlinear Schrodinger equation.
光纤传输模型用非线性薛定谔方程描述，利用分步傅立叶方法可计算光脉冲在光纤中的传输。
The fiber propagation model can be described by the nonlinear Schrodinger equation, and the split-step Fourier method is used extensively to solve the pulse-propagation problem.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
主要分析讨论了PMD的几种研究方法：琼斯矩阵法、斯托克斯空间法和耦合非线性薛定谔方程。
In this paper, several study methods on PMD are analyzed, such as Jones matrix, Stokes vector and the coupled nonlinear Schrodinger equation.
基于修正的非线性薛定谔方程，利用线性扰动理论和数值方法研究了单模光纤中的调制不稳定性。
Modulation instability (MI) in single-mode optical fibers is investigated analytically and numerically using a modified nonlinear Schrdinger equation.
基于耦合非线性薛定谔方程，通过数值模拟，研究了光子晶体光纤中高阶色散对脉冲俘获的影响。
Based on the nonlinear Schr? Dinger coupling equation, the impact of higher order dispersion in the photonic crystal fibers on the pulse trapping is studied by numerical simulation.
基于耦合非线性薛定谔方程，通过数值模拟，研究了光子晶体光纤中高阶色散对脉冲俘获的影响。
Based on the nonlinear Schrodinger coupling equation, the impact of higher order dispersion in the photonic crystal fibers on the pulse trapping is studied by numerical simulation.
从非线性薛定谔方程出发得到了色散缓变光纤（DDF）中交叉相位调制（XPM）不稳定增益谱。
Modulation instability resulted from cross phase modulation(XPM) in decreasing dispersion fiber(DDF) is presented from nonlinear Schrodinger equation.
修正的非线性薛定谔方程(MNLSE)通过加入高阶效应项可以描述单模光纤中的超短脉冲的传播。
The modified nonlinear Schrodinger equation (MNLSE) can describe propagation of ultrashort pulses in single-mode fiber by adding high-order effects terms.
非线性薛定谔方程（NLSE）是光通信领域中常用的传输方程，广泛应用于光纤通信系统的仿真研究。
The nonlinear Schrodinger equation (NLSE) is quite useful in the optical communication field, and has been applied widely to the optical communication systems simulation.
利用光脉冲在光纤中传播时所遵守的相干非线性薛定谔耦合方程，研究了线偏振光在光纤中的传输特性。
The coherently coupled nonlinear Schrdinger (NLS) equation of the propagation of a light pulse in a fiber has been studied.
由光束在克尔型吸收介质中传输的非线性薛定谔方程出发，推导了高斯光束注入介质后满足的耦合方程。
From the nonlinear Schrdinger equation of beam propagating in Kerr absorbing medium, a set of evolution equations describing Gaussian beam waist radius have bean deduced.
在线性近似条件下，量子化了非线性薛定谔方程，用后向传播法数值求解了孤子源啁啾对量子光孤子的影响。
Based on the linearization approximation, nonlinear schrodinger equation is quantized, the influences of the soliton source chirp on quantum soliton is studied by using the back-propagation method.
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