查询词典 lax

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

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。

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。

Such lax and slipshod ways are no longer acceptable; lax in attending classes; slack in maintaining discipline.

如此松懈、漫不经心的作风不会再被接受了；对到堂听讲要求很松；纪律松弛。

We introduce the Lax-Wendroff difference method into the calculation of interconnect transmission lines.An efficient Lax-Wendroff difference scheme with second order accuracy is proposed by considering the structure characteristic of telegrapher's equations.

1引言随着信号频率的增加和部件物理尺寸的减小，互连传输线对电路系统的影响越来越明显，该方面的研究在现代高速VLSI设计中具有十分重要的意义。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

The administration of the law can never go lax where everyindividual sees to it that it grows not lax in his own case, or incases which fall under his eyes.

在个人自己的案件中或是他所看到的案件中不能有疏忽，因此执法从来不能疏忽。

Water tank leakage is always the most influent rubber sealing lax than irrigation, water filled with later flow away from the overflow hole; outlet sealing rubber lax devascularization not take water into the pipes do not stopped to water.

尽可能先从头到脚淋湿一下，就全身涂肥皂搓洗，最后一次冲洗干净。不要单独洗头、洗上身、洗下身和脚。（4）洗澡要专心致志，抓紧时间，不要悠然自得，或边聊边洗。

Each state has its own standards (some are tight, others abysmally lax) on what that must be taught.

每个州对于必须教学的内容都有它自己的标准（一些要求比较严格，一些又非常松懈）。

In the meantime, the English of accipitral pool city grooms the market also is existing education quality is uneven, exterior superintend lax not do one's best, certain groom the problem such as orgnaization eager for quick success and instant benefit.

同时，鹰潭市的英语培训市场也存在着教学质量参差不齐、外部监管不严不力、某些培训机构急功近利等新问题。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。