nonlinear schrodinger equation

First,we analyzed nonlinear schrodinger equation by split-step Fourier transform method(SSFM).

主要研究高阶色散对光孤子传输的影响,首先通过分步傅里叶法(SSFM)分析非线性薛定谔方程,然后综合考虑高阶色散对光孤子共同作用的结果,得出三阶色散对孤子传输的影响独立于其它的效应,也使得孤子脉冲在其中一个边沿产生不为零的衰减振荡,并且使脉冲展宽,严重影响了孤子的传输。

In this paper,several study methods on PMD are analyzed,such as Jones matrix,Stokes vector and the coupled nonlinear Schrodinger equation.

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。

The method is based on the construction of a certain complete integrable finite-dimensional dynamical system, Whose solutions determine the exact solutions of nonlinear Schrodinger equation.

通过构造一个完全可积的有限维动力系统及其求解，我们获得了描述光学纤维中正群速色散脉冲传播的非线性薛定谔方程的精确解。

Soliton solution of certain nonlinear Schrdinger equation;

一类非线性薛定谔方程的孤子解

We study the self-compression and splitting of a circularly polarized laser pulse propagating in plasmas with density window from 1/4 critical to slightly below critical density by solving the nonlinear Schrdinger equation numerically.

通过数值求解一维非线性薛定谔方程,研究了圆偏振入射激光脉冲在初始密度范围为1/4到略低于1倍临界密度的等离子体中的自压缩和分裂现象。

The nonlinear Schrdinger equation of laser-plasma interaction is used to study the self-compression of femtosecond intense laser pulse in plasma.

文章从激光等离子体相互作用的非线性薛定谔方程出发,理论研究了飞秒强激光脉冲在等离子体中的自压缩行为。

Based on the modified nonlinear Schrdinger equation expressing the solitons transmission,studied are the interaction of solitons and their dispersion-managed transmission in dispersion-shifted fibers under Kerr coefficient distributing randomly by making use of symmetrical slit-step Fourier numerical method.

从描述孤子传输的修正非线性薛定谔方程出发,利用对称分步傅里叶方法,在伴随Kerr系数随机扰动的色散位移光纤中,对孤子间的相互作用及其色散管理传输进行了数值研究。

Through solving the nonlinear Schrdinger equation,the propagation variation of B integral of Nd:glass in high power laser system is numerically simulated.

通过对非线性薛定谔方程的求解,数值模拟了高功率激光系统中钕玻璃的B积分传输规律,并理论分析了B积分对光脉冲的波形和频谱的影响,详细介绍了几种消除B积分影响的方法。

A family of exact solutions of the one-dimensional nonlinear Schrdinger equation is derived, which describes the dynamics of a bright soliton in Bose-Einstein condensates with the time-dependent interatomic interaction in an expulsive parabolic potential.

给出了一个一维非线性薛定谔方程的严格解,它描述了在一个排斥势中随时间变化的原子间相互作用的玻色-爱因斯坦凝聚的一个亮孤子的动力学。

The nonlinear Schrdinger equation with time-dependent linear potential is discussed,and the exact N-soliton solutions are presented by employing the Darboux transformation method.

考虑含时线性势非线性薛定谔方程 ,通过 Darboux变换给出该方程的 N-孤子解 ,由此得到一孤子解和二孤子解的精确表达形式 ,并讨论孤子解的性质和相互作

In this article, the authors investigate the non existence of a class of homoclinic orbits to the Stokes waves for a perturbed nonlinear Schrdinger equation.

本文讨论了一个扰动非线性薛定谔方程对于Ｓｔｏｋｅｓ波的一类同宿轨道，证明了这类轨道是不存在

New exact solutions for nonlinear Schrdinger equation;

非线性薛定谔方程的新精确解

Exact solutions to nonlinear Schrdinger equations

一类非线性薛定谔方程的精确解析解

Maclaurin expansion near zero domain is applied to analysis the difference form of the normalized nonlinear Schrdinger equation in frequency domain, and a rapid numerical difference recurrence formula is deduced in time domain, which considers the nonlinear Kerr effect as well as the effect of chromatic dispersion in optical medium simultaneously.

利用零邻域的马克劳林展开对归一化非线性薛定谔方程的频域差分形式进行分析,得出一个能够同时考虑光学媒质的色散作用以及非线性克尔作用的时域快速数值差分递推公式。

Exact solutions to nonlinear Schrdinger equations

一类非线性薛定谔方程的精确解析解

Solve the Nonlinear Schrodinger Equation by the Precise Integration Method

用精细积分法求解非线性薛定谔方程

Soliton Transmission of the Derivative Nonlinear Schr(?)dinger Equation with Nonvanishing Boundary Conditions;

非零边值微商非线性薛定谔方程的孤子传输

The Direct Perturbation Method and Approximate Solutions of Nonlinear Schr(?)dinger Equation Hierarchy;

直接微扰方法和非线性薛定谔方程族的近似解

Exact jacobian periodic wave and solitary wave excitations for Higher-order nonlinear Schr?dinger equation

高阶非线性薛定谔方程的精确周期解和孤波解

The Two-Soliton Solution and Its Characteristics of the Modified Nonlinear Schrodinger Equation

变形的非线性薛定谔方程的两孤子解及其特征

The Theory of Soliton Perturbations of Nonlinear Schr(?)dinger Equation and It s Application;

非线性薛定谔方程的孤子微扰理论及应用

Weierstrass Elliptic Function Solutions to a New Type of NLS Equations;

一类非线性薛定谔方程的Weierstrass椭圆函数解

Jacobi Elliptic Function Expansion Methed to a New Type of NLS Equations;

一类非线性薛定谔方程的Jacobi椭圆函数解

A Solution to Higher Order Nonlinear Schrdinger Equation;

高阶非线性薛定谔方程的一种解法(英文)

Numerical Simulation and Its Theoretical Analysis of Nonlinear Schrodinger Equation

非线性薛定谔方程的数值模拟及其理论分析

Solving the high-order dispersive nonlinear Schrdinger equation by the(G′)/(G)-expansion methodd

应用(G′/G)—展开法求解高阶非线性薛定谔方程

Soliton Solutions to(2+1)-Dimensional Nonlinear Schrdinger Equation with Distributed Coefficients

变系数(2+1)维非线性薛定谔方程的孤子解

A Research of Difference Schemes for Nonlinear Schr Dinger Equation

非线性薛定谔方程二层差分格式的讨论

Exact Wave Solutions for the High-order Dispersive Nonlinear Schrdinger Equation

高阶色散非线性薛定谔方程的精确波解

Nonlinear Schrdinger equation for deep-water wave and its exact solutions

深水波浪非线性薛定谔方程及其精确解

A Highly Accurate and Conservative Finite Difference Scheme for Coupled Nonlinear Schrdinger Equations

耦合非线性薛定谔方程的高精度守恒差分格式

Steady Solution and Its Stability of Nonlinear Schr■dinger Equation;

非线性薛定谔方程的稳态解及其稳定性研究(英文)