查询词典 solitons

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。

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。

Evolution behaviors of the solitons width and the coherence radius are also described when the solitons undergo linear harmonic oscillation.

本文详细讨论了孤子进行线性谐振时的光束半径以及光束相干特性的演化过程。

The observations of dark and bright matter wave solitons,the study of matter wave solitons have been one of the hot issues in the fields of both low-temperature physics and condensed matter physics due to their potential application.

玻色-爱因斯坦凝聚中的暗，亮物质波孤子的成功观测及它们的潜在的应用前景，也使玻色-爱因斯坦凝聚中的物质波孤子成为了当前低温物理和凝聚态物理研究领域的研究热点之一。

The interactions between two semifolded solitons are elastic,while the interactions among other nonlinear multivalued and single valued excitation patterns such as the interactions between semifolded soliton and single valued localized soliton,semifolded soliton and folded soliton,and the interaction among semifolded soltion,folded soliton and single valued localized solitons,are nonelastic generally,which reveal different exotic and important nonlinear mechanical properties.

半折叠孤子之间的非线性相互作用是弹性，而半折叠孤子与单值局域孤子、半折叠孤子与折叠孤子以及更复杂的半折叠孤子、折叠孤子、单值局域相干孤子之间等多值和单值非线性激发模式间的相互作用是非弹性的，呈现出多样的非线性特性。

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

Use of optical solitons singular characteristics, can achieve optical solitons communications.

利 用光孤子的奇异特性，可以实现光孤子通信。

The properties of spatial magnetic solitons are discussed and high-order magnetic solitons are simulated.

在忽略色散效应的前提条件下讨论了空间磁孤子的传播特性。

For example, it have not been pointed out whether the wavelength of signal light beams would effect the time of quasi-steady solitons; it have not been noticed that the electric field preserved in crystal might effect on forming photovoltaic solitons; it have not been reported the action of background light beams in forming screening-photovoltaic solitons and whether it can form polychromatic SPS, and so on.

例如准稳态孤子的形成过程中探测信号光的波长对孤子存在时间的影响；光折变晶体中原先驻留的内电场对形成光伏孤子的影响；背景光在形成屏蔽-光伏孤子中所起的作用以及复色光能否形成屏蔽-光伏孤子等等都未进行研究。

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。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失