查询词典 solitons

By virtue of method of continuum approximate limit, we obtained the solitons of the vibration of lattice in one-dimensional harmonic and inharmonic chains of polarized molecule, under the conditions considering and inconsidering the interaction of exciton with phonon, through solving moving equations of exciton and phonon.

运用连续极限近似方法，通过求解声子和激子的运动方程，得到了在不考虑激子与声子的相互作用和考虑激子与声子相互作用两种情况下的极性分子简谐链和非简谐链中晶格振动的孤子解，并得出了激子与声子的相互作用的非线性效应类似于晶格三次势的非线性效应，以及相同的非线性效应不论是同时作用还是单独作用都具有相同的非线性效应的结论。

In the first part presented in Chapter 3, the previous work on the SKAWs in two limit case of 1≥β≥me/mi and β≤me/mi≤1 was generalized to the case of an arbitraryβ value where β is the ratio of thermal pressure to magnetic pressure, me(I is the electron mass, and it was showed that the SKAW accompanied by both dip and hump density solitons are possible.

这第一部分中，首先将前人关于这两个极限情行下（即1≥β≥me/mi和β≤me/mi≤1）的SKAW的工作推广到更一般的参数范围，给出了SKAW存在的一般判据，并证明在β~me/mi的情行下，伴随有稀疏和压缩密度孤子SKAW都是可能的。

Combined KdV equation; Generalized KdV equation; Reduction-order method; Auxiliary differential equation technique; Solitarywave solutions; Periodic solutions; Solitons; Algebraic travelling wave solutions; Physical structures

基础科学，数学，数学分析KdV-mKdV方程；广义KdV方程；降阶法；辅助微分方程；孤波解；周期解；孤子解；代数行波解；物理结构

Firstly, the effect of axial vector meson 〓(1282) upon the moment of inertia and the masssplittings of solitons are studied in the model, which comes from a U(2)〓×U(2)〓chiral meson theory.

首先，从一个U(2)〓× U(2)〓手征介子理论出发，通过模型，考察轴矢量介子〓(1282)对孤立子转动惯量和重子多重态质量劈裂的影响。

Plane waves are absolutely stable against small modulations in self-defocusing media, the dark spatial solitons exist only in the form localized dark hole on the plane wave background.

在自散焦介质中，平面波的传播对小的调制扰动是绝对稳定的，暗空间孤子正是作为平面波背景上的一种局域暗迹而存在的。

The terms neglected in the derivation of this completely integrable equationshould be considered as perturbations.To study the methods of amplifying or controllingoptical solitons,a perturbation theory is also necessary.

在导出这个完全可积方程的过程中忽略了的项要作为微扰加以考虑，研究对光孤子的放大和控制等手段，也需要使用微扰理论。

Nowadays both theoretical and experimental investigations have extended the concept of solitons to include the cylindrically and spherically expanding or contracting nonlinear waves displaying general soliton properties with the exception that their amplitudes are functions of the radial distance.

虽然目前，理论和实验研究已经扩展了孤子的含义，其中包括了在柱坐标和球坐标下进行展开或非线性波呈现一般意义上孤子的性质但振幅是半径的函数等。

The analysis of theory and experiments shows that dark photovoltaic solitons depend on the direction of propagation,orientation of the intensity gradient,with respect to the crystalline axes of the medium.

实验和理论分析表明，暗光伏孤子的形成与光的传输方向，强度梯度与晶体c轴夹角有关；只有在一定的条件下，才能得到稳态的部分空间非相干暗光伏孤子。

It showed that dissipative holographic solitons can exist in a two-beam dissipative system in a proper condition.

实验表明，在适当条件下，耗散全息光孤子可以存在于不加外电场的以3-甲酰基-9-乙烯基咔唑为基础的有机光折变材料中。

By treating photorefractive spatial soliton as rays in geometric optics, the action of the diffusion effect on propagation of PR spatial solitons is analyzed.

把光折变空间孤子看作几何光学中的一束光线，研究了扩散效应对光折变空间孤子传播的影响。

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