查询词典 soliton

Based on the derived solutions, the nonpropagating light solitons(temporal light soliton and bight-dark pulse light soliton), propagating light solitons, and the neutralisation phenomena of light-solitons were constructed.

标 签 非线性光学联立薛定谔方程改进的映射法光孤子中和现象 nonlinear optics (1+1)-dimensional related to Schrdinger equation improved Riccati mapping approach light soliton the neutralisation phenomena

The optical soliton propagation in monomode optical fibres with third-order dispersion is reinvestigated by using variational method. The evolution equations for optical soliton parameters are found, and self-wave-peak shift phenomena is explained quantitatively.

用变分法重新研究了单模光纤中的三阶色散对光孤子传输的影响，找到了光孤子参数的演化方程组，定量地解释了光孤子的自波峰漂移现象。

Luo and Ji (1989) proposed envelope Rossby soliton theory of blocking by relating envelope Rossby soliton to atmospheric blockings.

罗德海和纪立人（1989）则首先将包络Rossby孤立子与阻塞形势联系起来，提出偶极子阻塞形成的包络Rossby孤立子理论。

It is shown also that the propagation of the soliton with an order of amplitude of picosecond width is hardly to produce stimulated Raman amplification, but the soliton with narrower width (generally, smaller than few picoseconds) is better synchronous with Raman wave, and the stimulated Raman amplification can be produced easily.

在相位交调、光纤损耗和脉冲走离并存的情况下，论文详细讨论了基态孤子传输中的喇曼波产生，得到了相位交调导致喇曼波辅加周期放大的结论，并首次给出了辅加放大因子和放大周期的表示式，同时首次给出了由于孤子光纤损耗导致的最大放大距离的表示式。

By employing the transformations of variables and functions, the exact bright soliton solution on a continuous-wave background is obtained in quadratures, and is discussed in detail. From the behavior of the exact solution in exponential control fiber system, the conclusion can be obtained that soliton in a proper fiber system can be compressed or broadened.

通过变量和函数变换得到方程的精确解为连续波背景下的亮孤子解，并对精确解在不同情况下的具体行为作了详细讨论，以指数分布控制系统为例说明：当选择适当的光纤控制参数时，孤子可以被压缩/展宽。

According to the self-trapping that takes place in both transversedimensions,we show that an addressing optical switch is possible bychanging the lateral displacement of the beam,that the soliton wavelengthdivision multiplexing devices may be made by using the self-deflection ofspatial solitons,and that soliton devices with two or three controlledparameters are made by using screening-photovoltaic solitons for shortcircuit or closed circuit with an external resistor.

根据光孤子的自陷获仅发生在横向上，由此我们提出：控制横向空间光孤子的方法实现光的快速互连切换光开关；用短路或有外电阻的屏蔽光伏孤子研制具有两种或三种控制参数的孤子器件；用控制空间光孤子的自偏转的方法研制波分复用器。

The influence of nonlinear gain (including five order nonlinear gain term) on the Gordon-Haus effect of soliton transmission system controlled by fixed central frequency filter is studied by using adjoint operator method for the first time.

运用绝热演化方法研究了滑频滤波控制孤子传输系统的稳定条件，并首次解析研究了滤波器三阶项对滑频滤波控制系统孤子定时抖动的影响。

In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

本论文建立了系统的暗孤子直接微扰方法，在对前人关于暗孤子微扰方法的错误以及亮孤子直接微扰方法的本质作了充分的分析后，认识到引入平方Jost解的伴随解和证明完备性是问题的关键，撇开过去亮孤子情况首先引入伴随算子的非必要作法，直接从平方Jost解与其伴随解的内积在连续谱时正比于δ函数这一正交性要求出发，找出了伴随解，同时得出了应有的伴随算子，在考虑到约化变换性后，得到了暗孤子情况的平方Jost解的完备性的正确表述，并在单个暗孤子的情况利用平方Jost解的显式直接验证了它的正确性。

The derivative nonlinear Schrodinger equation is, however, an open and important issue both in theoretical and applied aspects. The DNLS equation with nonvanishing boundary conditions is solved by introducting an affine parameter and we find that it supports a rich set of soliton solutions.

大部分完全可积的(1+1)维非线性偏微分方程，特别是有明确物理应用的方程的孤子解已经用反散射变换等方法得到，但还剩下一些难题，变形的非线性薛定谔方程在非零边值下的反散射变换就是其中一个。

For the DNLSE with NVBC, a simple adapted IST was recently derived by introducing an affine parameter, yielding a much simpler one-soliton solution. All previous researches demonstrate that, in known (1+1) dimensional one-component integrable systems, the DNLSE with NVBC is a rare instance simultaneously admitting bright solitons, dark solitons, as well as their bound states.

它是目前已知有物理意义的(1+1)维单分量可积系统中，唯一同时存在亮、暗孤子以及呼吸子型亮—暗孤子束缚对的系统，通过该模型研究亮暗孤子间的碰撞很有意义，为此需要得到多孤子解。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。