Complex Wave Excitations in Generalized Broer-Kaup System

Starting from an improved projective method and a linear variable separation approach, new families of variable separation solutions （including solltary wave solutlons, periodic wave solutions and rational function solutions） with arbitrary functions [or the （2＋ 1）-dimensional general/zed Broer-Kaup （GBK） system are derived. Usually, in terms of solitary wave solutions and/or rational function solutions, one can find abundant important localized excitations. However, based on the derived periodic wave solution in this paper, we reveal some complex wave excitations in the （2＋1）-dimensional GBK system, which describe solitons moving on a periodic wave background. Some interesting evolutional properties for these solitary waves propagating on the periodic wave bactground are also briefly discussed.     

Entanglement in a generalized Jaynes--Cummings model

We investigate the pairwise entanglement and global entanglement in a generalized Jaynes--Cummings model, which can be used to realize Greenberger--Horne--Zeilinger (GHZ) entangled state (Zheng S B 2001 {\it Phys. Rev. Lett.} {\bf 87} 230404). Our results show that the W-type entangled states cannot be generated based on the model. The dependences of entanglement on Rabi frequency $\lambda$ and dipole--dipole coupling strength ${\it \Omega}$ are given. It is found that there exists the quantum phase transition when $\lambda={\it \Omega}$. For typical experimental data, the critical temperature for pairwise entanglement is on the order of $10^{-6}$\,K. Based on these results, two strategies that overcome decoherence are proposed.     

The projective Riccati equation expansion method and variable separation solutions for the nonlinear physical differential equation in physics

Using the projective Riccati equation expansion (PREE) method, new families of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for two nonlinear physical models are obtained. Based on one of the variable separation solutions and by choosing appropriate functions, new types of interactions between the multi-valued and single-valued solitons, such as a peakon-like semi-foldon and a peakon, a compacton-like semi-foldon and a compacton, are investigated.     

投影寻踪和神经网络方法研究金属离子水解规律

对金属离子水解常数pK1的线性模型的局限性进行了讨论,并采用投影寻踪技术对pK1数据结构进行研究。非线性建模可能是更适宜的方法。采用函数连接型神经网络(FLN),以金属离子的电荷、半径、价电子结构、电负性及空价轨道数等作为描述变量,对60种金属离子水解常数pK1数据进行建模,获得了满意的结果,并对10种金属离子的pK1作出了预测。     

光电分析天平的常见故障及其排除方法

介绍光电分析天平一般故障的现象、产生的原因及其排除方法。     

投影边缘在硝基苯类化合物构效关系研究中的应用

在三维投影的基础上,对投影的边缘进行了描述,并以其进行了定量结构活性相关研究.实验结果表明,与Am指数、指示变量和量化参数相结合,可使其数学模型得到明显提高.通过人工神经网络对硝基苯类化合物的毒性进行预测,结果令人满意.     

用投影方法求耗散广义Hamilton约束系统的李群积分

针对耗散广义Hamilton约束系统,通过引入拉格朗日乘子和采用投影技术,给出了一种保持动力系统内在结构和约束不变性的李群积分法．首先将带约束条件的耗散Hamilton系统化为无约束广义Hamilton系统, 进而讨论了无约束广义Hamilton系统的李群积分法,最后给出了广义Hamilton约束系统李群积分的投影方法．采用投影技术保证了约束的不变性,引入拉格朗日乘子后,在向约束流形投影时不会破坏原动力系统的李群结构．讨论的内容仅限于完整约束系统, 通过数值例题说明了方法的有效性．     

Multiparticle Generalization of Remote State Preparation

We present a scheme for preparing remotely a three-particle pure entangled state via entanglement swapping,and then we directly generalize it to the multiparticle case. It is shown that by using N pairs of bipartite EPR states as the quantum channel, remote preparation of some specially chosen N-particle pure entangled states can be achieved faithfully with an N-particle orthonormal basis measurement and only N bits of classical information.     

一种用于无损检测的数字剪切散斑干涉系统

剪切电子散斑干涉技术在工业无损检测领域有广阔的应用前景.本研究基于迈克耳逊干涉光路,设计了全动式的干涉剪切镜,研制了便携式的激光无损检测设备.采用相关算法生成剪切电子散斑条纹图,获得了高质量的物面缺陷检测条纹.同时采用了条纹的自适应滤波技术和相移技术,进一步提高了缺陷处条纹的清晰度和对比度.配合热流和负气压两种加载方式,该设备可应用在多种材料的无损检测中.实验表明,对于铝蜂窝夹层板,该设备可检测直径大于3mm的缺陷,且该设备具有使用方便的特点,可替代一些常规的检测方法.本文同时给出了该方法的其他实验例证.     

气相色谱法测定爱迪注射液中的斑蟊素

 研究了斑蟊素在几种萃取体系中的分配行为,测定了它的分配系数。选定二氯甲烷为萃取剂,在相比为1∶10时,只需一次萃取便可以使斑蟊素定量富集。选用OV-17填充柱、外标法定量。方法的分离效果令人满意,检测限低,结果的准确性和精密度良好。