查询词典 soliton

By introducing non-relativistic, adiabatic and quantum approximation to NLCMEs in the FBG with hyperbolic tangent apodization, and assuming the soliton as a particle with low velocity and invariant energy, the track equation of soliton is obtained.

利用双曲正切中间变迹光栅中的NLCME，引入非相对论-绝热-准量子近似法，将光栅孤子作为一个低速运动且能量守恒的整体进行分析，得到了孤子的轨迹方程。

In contrast with the Lax representation for soliton equation, there are singu-larities related to spectral parameter in the Lax representation for soliton equationwith self-consistent sources.

与孤立子方程的Lax表示相比，带附加项的孤立子方程的Lax表示中含有谱参数的极点。

In chapter four, we developed a direct approach for soliton perturbation based on the Green function, This approch get rid of the proof of orthognality for eigenfunctions in a direct approch for soliton perturbation developed by Yan Jiaren etal.

第四章，发展了一种基于格林函数的孤子微扰理论，克服了颜家壬教授微扰直接法中本征函数正交性证明的困难。

Introducing single valued and multivalued functions properly in the 2+1 dimensional variable separation solutions,we derive various semifolded solitary waves such as bell-like semifolded soliton,compaction-like semifolded soliton and peakon-like semifolded solitons,et al.

在2+1维分离变量解中引入多值函数和不同单值函数，得到了多种半折叠孤波激发，如钟状半折叠圈孤子、Compacton半折叠圈孤子、Peakon半折叠圈孤子等。

The shape of these soliton can be controlled by picking different soliton parameters.

这些孤子的结构，可以通过选取孤子参数的方式得到控制。

The soliton perturbation problem is an important part of the soliton theory.

孤子的微扰是孤子理论中最有实用价值的重要内容。

Magnetic soliton and soliton collisions of spinor Bose-Einstein condensates in an optical lattice.

王璞玉，杨国建，"s波散射作用下的原子-分子系统的量子动力学"，光学学报 29，

Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解：用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能，它不但使我们能找到已知解而且也能找出新的根式孤立波解；用齐次平衡法给出一个曲面波方程的精确孤立波解，并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法，作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等；用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解；提出sine-Gordon型方程的直接求解方法，并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

In the composite-Boson field the topological structure of soliton is obtained with the Cauchy-Riemann condition. The evolution of soliton in such system is discussed in detail.

借助于Cauchy-Riemann条件揭示了复合玻色场中孤子态的拓扑结构，并详细考察了该系统中孤子态的演化。

It is divided into three parts: In Part 1, based on mumerical simulations with the pseudo-spectral method, we introduced some new concepts such as the response speed of soliton interaction, the symbol correlation range, etc., and simplified the evolution problem of general soliton sequencies into the evolution problem of finite equivalent classes of words on a unoriented circle, and then gave out the count formula of the equivalent classes by Pó1ya theorem.

全文分三个部分：第一部分以利用拟谱方法所做的大量数值模拟为基础，分析光纤孤子通信系统中一般编码孤子序列的演化性质，提出孤子相互作用传递速度概念，通过考察通信系统的实际情况，引入码元关联长度K，把一般编码孤子序列的演化问题归结为无定向圆环上有限个不等价码字的演化问题，最后利用Pólya定理解决了不等价码字的计数问题。

Some of them were ligated to the plasmid vector pCR 2.1 andsequenced,respectively.

将所获DNA片段克隆到pCR2.1载体进行测序，并与基因组数据库进行同源性比较。

Thinking since Google owns Blogger, I would be able to escalate this issue to the support team.

自谷歌的思考拥有Blogger的，我将能够缓解这一问题的支持团队。