暗孤子对在这种系统中传播时，其亮背景会产生自激的噪声。
Selfexcited noises will grow on bright backgrounds of dark-soliton pairs when they are propagating in the system.
结果表明：等初始间距的暗孤子串的相互作用不像明孤子那样复杂；
The results show that the interaction of equal distance at the beginning between dark solitons of the string is not so complicated as bright solitons string.
结果表明，亮脉冲的压缩程度与暗孤子相对于亮脉冲的初始峰值功率有关。
The results show that the compression ratio and compressed peak power of the bright pulse depend upon the initial relative peak power of the dark pulse to the bright pulse.
用数值方法分析了平行传播异色光伏暗孤子之间及亮暗孤子之间的相互作用。
The parallel interaction between two photovoltaic spatial solitons of dark and dark as well as dark and bright with different wavelengths is investigated by numerical method.
由啁啾演变结果可得，在正常色散区可形成暗孤子，也可实现对皮秒脉冲压缩。
The results show that chirped pulses can be compressed and dark soliton can be formed.
第二章，分别探讨了玻色-爱因斯坦凝聚中暗孤子和亮孤子实验情况和理论研究现状。
In chapter two, we introduce the mod-ern studies and experiments of dark solitons and bright solitons in Bose-Einstein condensates, respectively.
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.
文中还将亮狐子与暗孤子进行比较，证明了相同条件下，暗孤子比亮孤子所受的影响更小。
We compare dark solitons with bright solitons, the shifts of dark is smaller in same condition.
给出了低振幅双光子屏蔽光伏亮和暗孤子的解析表达式，并推到出了孤子宽度的显式表达式。
Then, the analytical expressions for both the bright and dark low-amplitude two-photon screening-photovoltaic spatial solitons in photorefractive crystals were obtained.
在第一章中，我们简单介绍孤子理论、亮孤子和暗孤子微扰问题的研究进展、现状和主要方法。
In the first chapter, we briefly introduce the research progress, present situation and main methods of soliton theories and perturbation problems of bright and dark solitons.
而玻色子之间的相互排斥作用相当弱(小于临界值)时，凝聚体中会出现亮孤子和暗孤子交替演化。
While the inter-atomic repulsive interaction is less than a critical value, the alternative evolvement phenom...
一般而言，在满足上述条件的情况下，双色光可以形成双色光亮孤子、双色光暗孤子、一亮一暗孤子。
Generally, under these conditions we can form bright bright, dark dark and bright dark polychromatic light photovoltaic spatial solitons in the crystal.
结果表明：色散随机变化增大了暗孤子到达检测窗口的时间抖动方差而降低了暗孤子传输系统的容量。
The results show: the stochastic dispersion variation apparently leads to the time jitters and reduces the capacity of the dark soliton transmission system.
结果表明：在两个非相干暗孤子之间存在排斥力，并且高阶色散效应减弱了非相干暗孤子之间的相互作用。
The result shows that there is repulsive forces between two incoherent dark solitons, and the high order dispersion effect decreases the strength of the mutual interaction.
结果表明，只有基本暗孤子的频率抖动量（均方值）是亮孤子的一半，而其它小振幅暗孤子的频率抖动量大于亮孤子的频率抖动量。
The results show that only fundamental dark soliton has a frequency jitter half that of bright soliton, and small-amplitude dark soliton has a frequency jitter stronger than that of bright soliton.
对在对数型非线性介质中空间灰孤子的存在性进行了研究，认为对数型非线性介质中可以同时支持暗和灰空间孤子态。
The existence of dark and gray spatial solitons in logarithmically nonlinear media is investigated. It is shown that both dark and gray solitons are possible in corresponding nonlinear media.
对部分空间非相干光光生伏打暗空间孤子进行了实验研究。
An experiment of partially spatially incoherent photovoltaic dark spatial soliton is presented.
进一步实验研究了暗光伏孤子的演化特性。
We further study the evolution of dark PV solitons in experiments.
另外发现稳态屏蔽孤子的形成时间随着振幅的增加而减少，而开路光伏孤子的时间行为与孤子峰值强度与暗辐照的比值有关。
Moreover, we find that the formation time of screening solitons decreases with increasing amplitude, while the PV soliton's is relative to the intensity ratio.
预言了亮-亮，暗-暗和亮-暗非相干耦合空间孤子对可存在于中心对称光折变介质中。
Incoherently coupled dark-dark , bright-bright and bright-dark screening soliton pairs in centrosymmetric photorefractive crystals are possible due photorefractive effect.
从有限高斯背景下空间暗光孤子诱导折射率分布出发，用等效衰减矢量法得到它所自诱导的波导的色散特性。
We use the equal-attenuation-vector method, to numerically study dispersion characters of dark spatial soliton induced waveguide under limited background.
基于空间暗光孤子诱导波导的模式特性以及光波在波导间耦合理论，提出了一种实现光控可变定向耦合器的方法。
A photovoltaic spatial soliton theory of duotone signal beam with monochrone background beam is presented, and a solution of bright soliton has been obtained by a numberical method.
基于空间暗光孤子诱导波导的模式特性以及光波在波导间耦合理论，提出了一种实现光控可变定向耦合器的方法。
A photovoltaic spatial soliton theory of duotone signal beam with monochrone background beam is presented, and a solution of bright soliton has been obtained by a numberical method.
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