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- As reduction case, a generalized nonlinear Schrodinger equation is presented. 作为约化情形;得到了广义非线性Schrodinger方程.
- In my paper, the method is dealt with the nonlinear Schrodinger equation with several perturbation terms. 本文用这种方法处理了自聚焦非线性薛定谔方程的孤子微扰理论。
- In Section 2.3,we compute the two-order approximate analytic solution of nonlinear Schrodinger equation. dinger方程一阶近似解析解;在2.;3节;给出了非线性Schr(?)
- In Section 3.1 we introduce the main numerical method of nonlinear Schrodinger equation. dinger方程二阶近似解析解;第三章中;在3.;1节;简述了Hong与Liu采用多辛方法来求解非线性Schr(?)
- The equation of Langmuir waves in plasma and correlative the nonlinear Schrodinger equation. 2 .;Langmuir波及其方程与相关的非线性 Schrodinger方程
- I tackle the perturbation problem of the nonlinear Schrodinger equation because of its importance. 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。
- Title： Soliton solution of the nonlinear Schrodinger equation with boundary conditions. 关键词：孤立子;带边界的可积系统;驻波解;行波解
- In this thesis the coupled nonlinear Schrodinger equation is solved by means of split-step Fourier transform. 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。
- Abstract： The beam propagation in nonlocal Kerr media is modeled by the nonlocal nonlinear Schrodinger equation. 摘 要： 在非局域克尔介质中，光束的演化规律服从非局域非线性薛定谔方程。
- At last symplectic schemes of Hamiltonian system for nonlinear Schrodinger equation have been extended to higher dimension. 最后，把非线性Schr(?) dinger方程的辛格式推广到了高维，并给出了一种特殊的非线性Schr(?)
- In the second chapter, we establish the perturbation theory for the nonlinear Schrodinger equation, and study its specific perturbation. 第二章给出了关于非线性薛定谔方程的微扰理论,并通过具体工作来说明我们的基于直接微扰理论的两种不同的思路方法。
- The propagation of optical beams in the nonlocal nonlinear media is modelled by the nonlocal nonlinear Schrodinger equation (NNLSE). 空间光束在非局域非线性介质中的传输满足非局域非线性薛定鄂方程(NNLSE)。
- Time jitters in twin-core fiber is analyzed by using self-companying operator method through coupling nonlinear Schrodinger equation. 利用自伴算符方法,通过耦合非线性薛定谔方程分析了双芯光纤中孤子脉冲到达检测窗口的时间抖动问题。
- The effect of fiber loss on the quality of soliton-effect picosecond pulse compression is analyzed by solving the modified nonlinear Schrodinger equation numerically. 在计及常规光纤损耗的前提下;通过数值求解修正的非线性薛定谔方程;全面地计算和分析了损耗对皮秒脉冲在单模光纤中孤子效应压缩过程的影响.
- In this paper,we study the classic and quantum effect of gain dispersion in soliton propagation,using classic and quantum nonlinear schrodinger equation. 用经典的以及用Hartree含时间方法量子化的;包含增益色散的非线性薛定格方程;研究了在光孤子放大传输中;增益色散引起的量子和经典效应.
- A modified nonlinear Schrodinger equation, governing the behaviour of nonlinear ion accoustic waves in a plasma with density gradient, is derived by the Krylov-Bogoliubov-Mitropolsky pertubation method. 本文用Krylov-Bogoliubov-Mitropolsky微扰法得出了控制具有密度梯度等离子体中的离子声波的修正非线性Schr(?) dinger方程。
- The processes responsible for the generation of a supercontinuum are identified though the simulation of the nonlinear Schrodinger equation by Split-step Fast Fourier Transform Method. 利用分步傅立叶法数值模拟了广义的非线性薛定谔方程,分析研究了多种条件下超连续光谱的产生过程;
- For studying of several problems in mathematical physics, the mathematical foundation of quantizing theory is an important subject, and nonlinear Schrodinger equation is a fundamental model in quantum mathematics mechanics. 在现代数学物理的若干问题研究中，量子化理论的数学基础是一个重要课题，非线性Schr(?) dinger方程是量子力学中的基础数学模型。
- The exact bright and dark soliton solutions of the nonlinear Schrodinger equation with two-photon absortion and with bandlimited optical gain, respectively, are given with the travelling wave method. 用行波方法给出了含有增益色散项和双光子吸收项的非线性Schrodinger方程的皮秒严格亮基孤子解和严格暗基孤子解，以及严格暗基孤子解存在的条件；
- In this article we solved the nonlinear Schrodinger equation with the method of split-step Fouior to simulate supercontinuum generation in photonic crystal fibers on different conditions, and gave a particular analysis. 本文采用分步傅里叶的方法数值求解广义非线性薛定谔方程，模拟了不同条件下光子晶体光纤中超连续谱产生的情况，并作了详细的分析和讨论，得出的主要结论如下：
