查询词典 soliton

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性，从而使得一些情形下，同类解的相互作用体现在参数矩阵上变的较简单；我们给出了AKNS方程的两类不同解，并约化到NLS；对DS方程，我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法；把这些有关标量ω的结果推广到ω为矩阵上往往只要把p，q变为矩阵即可，进而可以再推广到方程组上。

It is proposed that the saturated optical amplifier can be used to ensure the self-consistency of the system when the energy of pulse doesn't match that of average soliton.

本文论述了平均孤子通信方案的基本理论与传输特性，指出这是一种非常理想的高速长距离全光孤子通信方案，分析了脉冲能量、谱特性和波形与理想平均。。。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

The semifolded solitary wave excitations are multivalued loop soliton folded in one direction and single valued localized in other direction.

半折叠孤子在一个方向上多值圈孤子折叠，而在另一方向上非线性单值局域。

So the study of the soliton solutions in all kinds of space is very important.

因此研究各种空间的孤子解就显的很重要。

Soliton theory is one of the important problems of physics.

孤子理论是物理学中的一个重要课题，它在物理学的许多领域都有重要应用。

Soliton theory is one of the important branches of nonlinear science.

孤子理论是非线性科学中的一个十分重要的分支，它在物理学的许多领域中有着日益广泛的应用。

In this paper, we consider an important soliton equation.

现在已经有很多方法得到孤子方程的解。

Soliton theory is one of hot topics in mathematics and physics.

孤立子理论研究是现代数学和物理理论研究的一个热门话题。

At last, the SSWM is used in research of optical soliton.

在本章最后部分，用小波方法研究了光孤子的传输特性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。