一旦建立了孤波，磁场方向的振动频率高达每秒十亿次以上。
Once the soliton is established, the magnetic orientation oscillates at more than a billion times a second.
我们会开始寻找实验证据证明这些固定励磁的存在，尤其是因为在其他材料中很难产生孤波。
We'd like to start looking for experimental evidence that these localized excitations occur, not least because solitons in other materials are hard to generate.
弱非线性和孤波。
本文分别对三类非线性耦合方程组求解，得到了系统的孤波解。
In this paper, three classes of coupled nonlinear equations are solved respectively, and we obtain solitary wave solution of systems.
孤波，作为一种特殊的相干结构，反映了一类稳定的自然波动现象。
Solitary wave, which is a special coherent structure, describes a kind of stable nature wave phenomena.
结合负折射介质的特性，详细研究了该啁啾暗孤波的形成条件和传输特性。
Based on the characteristics of nonlinear negative index materials, we investigate the formation conditions and transmission characteristics of the chirped dark solitary wave in detail.
在弱束流的条件下，四种离子声波模式中有两种分别对应慢孤波和快孤波。
Under the weak beam conditions, there are four ion acoustic wave modes, of which, two correspond to the slow and fast solitary waves.
引入双参数变换求出了一个非线性方程的显示孤波解，方法简便，便于应用。
By introducing double parameter transformation, the explicit solitary wave solutions for a nonlinear equation are obtained.
结果显示，小耗散的存在使孤波的振幅和移速随时间缓慢地减小，孤波宽度则随时间缓慢增大；
The numerical results show that the presence of small dissipation causes a slow decrease of the amplitude and the propagation speed of the solitary waves and slow increase of the solitary wave width.
随后，我们利用拟解方法给出飞秒啁啾类孤波解的解析表达式，并讨论该解在光纤系统中的传输特性。
Then, based on the fundamental equation, we present the chirped femtosecond soliton-like solution by ansatz method and discuss the transmission property of the soliton-like solution in optical fiber.
非均匀介质中的孤子和孤波对于相对论量子力学和量子电子学（例如红外孤子激光器的研究）是很有意义的。
Solitons and solitary waves in inhomogeneous media are of interest in relativistic quantum mechanics and quantum electronics, e. g. in research on infrared soliton lasers.
同时我们还发现，在一定条件下，晶体损耗能使振幅失配的高斯光束演化成匹配的高斯光束，并最终演化成稳定的明孤波。
It is found that the loss in the crystal can make a mismatched incident Gaussian beam evolve to a matched one, and then become to a steady-state bright soliton.
论文第二章研究了等离子体中横向扰动下的(3 +1)维弱非线性离子声波，得到了描述离子声孤波的(3 + 1)维kp方程。
In chapter two, the (3 + 1) dimensional weakly nonlinear ion acoustic wave at higher order transverse perturbations in plasma was discussed and described by the Kadomtsev-Petviashvili (KP) equation.
热尘埃等离子体中的非线性尘埃声孤波在高阶横向扰动下是稳定的，且尘埃颗粒的温度、低温离子和高温离子的温度和数密度影响尘埃声波的性质。
The temperature of dust grains, low temperature and high temperature ions and the number densities of the ions influence the property of dust acoustic waves.
为了研究体外冲击波碎石术(ESWL)对幼龄肾脏发育及功能的影响，我们设计了幼龄家兔孤肾模型。
In order to study the effects of ESWL on the immature kidney growth and function, we designed the model of immature solitary kidney.
为了研究体外冲击波碎石术(ESWL)对幼龄肾脏发育及功能的影响，我们设计了幼龄家兔孤肾模型。
In order to study the effects of ESWL on the immature kidney growth and function, we designed the model of immature solitary kidney.
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