Constructing infinite sequence exact solutions of nonlinear evolution equations

To construct the infinite sequence new exact solutions of nonlinear evolution equations and study the first kind of elliptic function, new solutions and the corresponding Bäcklund transformation of the equation are presented. Based on this, the generalized pentavalent KdV equation and the breaking soliton equation are chosen as applicable examples and infinite sequence smooth soliton solutions, infinite sequence peak solitary wave solutions and infinite sequence compact soliton solutions are obtained with the help of symbolic computation system Mathematica. The method is of significance to search for infinite sequence new exact solutions to other nonlinear evolution equations.     

多环麝香(PCMs)的环境行为及毒性效应

多环麝香(PCMs)作为重要的人工合成麝香广泛应用于日用品中,目前在各种环境介质中都能检测到PCMs的存在。由于其持续不断地进入环境并能够在生物体内积累,其效应类似于持久性污染物。作为一类新型污染物,PCMs所引起的环境问题受到了广泛重视。本文介绍了PCMs的物理化学性质、来源以及在不同环境介质中的分析方法和污染现状,概述了其在环境中的降解转化、生物富集行为,并总结了其能产生的急性毒性效应、亚慢性毒性效应、内分泌干扰效应和其他潜在的毒性效应,最后讨论了目前研究中存在的问题,并对未来研究进行了展望。今后,应该建立有效的、可比对的标准分析方法,更加系统地进行环境污染现状、迁移转化规律和生物降解代谢途径的研究;重视暴露途径和生物有效性的研究,并与风险评价结合;结合环境中PCMs的污染现状,探讨低剂量长期暴露和复合暴露对生物的影响。     

Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification

The magnetohydrodynamics(MHD) convection flow and heat transfer of an incompressible viscous nanofluid past a semi-infinite vertical stretching sheet in the presence of thermal stratification are examined.The partial differential equations governing the problem under consideration are transformed by a special form of the Lie symmetry group transformations,i.e.,a one-parameter group of transformations into a system of ordinary differential equations which are numerically solved using the Runge-Kutta-Gillbased shooting method.It is concluded that the flow field,temperature,and nanoparticle volume fraction profiles are significantly influenced by the thermal stratification and the magnetic field.     

Preparation of Multilayered 1,2-Ethylene-silica Nanotubes Through a Dual-templating Approach

Multilayered 1,2-ethylene-silica nanotubes were prepared with cetyltrimethylammonium bromide(CTAB)as a template and(S)-β-citronellol(CN)as a co-structure-directing agent.For a better understanding of t...     

超薄前投激光显示系统研制

为了解决光学系统投影厚度过大问题,采用自由曲反射面结合非球面设计方法设计出超短距离、超广角投影显示系统,其屏幕投影距离小于20 cm。为解决激光色域系统转换,建立了激光三基色与荧光粉三基色色域变换与扩展的理论模型并搭建了基于DSP高速图像处理芯片为核心的颜色变化实时硬件处理试验开发系统。通过该系统可以调试不同颜色系统转换算法,验证转换模型的正确性,并为实现专用颜色转模块提供了开发平台。     

A COORDINATE TRANSFORMATION METHOD FOR NUMERICAL SOLUTIONS OF TRAVELING-WAVE ELECTROOMTIC FLOWS IN MICROCHANNEL

采用坐标变换法数值求解了耦合的Poisson-Nernst-Planck（PNP）方程和Navier—Stokes（NS）方程,研究二维狭窄微通道行波电场电渗流数值解．数值结果表明,坐标变换法能有效降低电渗流解数值解在双电层的高梯度,有效改善数值解的收敛性和稳定性．坐标变换的电渗流数值解和原始坐标下的数值解完全一致．坐标变换后采用简单的网格也能得到和原始坐标下复杂网格相同的解．给出了滑移边界的近似解与完整的PNP—NS数值解的比较．在双电层厚度与微通道深度比值（λ／H）很小的情况下（相对深通道）,两者的解基本一致．但在λ／H较大时（相对浅通道）滑移边界的解高于电渗流速度．     

子弹冲击下TiNi固支梁的结构动态响应特性研究

采用改装的霍普金森压杆装置结合数值模拟对伪弹性TiNi合金固支梁的结构动态响应特性进行了研究。结果表明,在子弹冲击下,撞击点和固定端附近首先发生相变,并随着载荷增加,进一步产生相变铰,梁演变为二杆铰接机构。由于轴力作用,此处相变铰为拉伸侧的单边铰。与传统塑性铰不同,卸载后相变铰完全消失,梁回复原状没有残余变形。此外,对固支边界条件的实现及其对实验结果的影响进行了专门研究。     

New Generalizations of Migdal-Kadanoff Bond-Moving Recursion Procedures and Their Applications

Considering in symmetrical half-length bond operations,we present in this paper two types of newlydeveloped generalizations of the remarkable Migdal-Kadanoff bond-moving renormalization group transformation recursion procedures.The predominance in application of these generalized procedures are illustrated by making use of them to study the critical behavior of the spin-continuous Gaussian model constructed on the typical translational invariant lattices and fractals respectively.Results such as the correlation length critical exponents obtained by these means are found to be in good conformity with the classical results from other previous studies.     

Adiabatic and Non-Adiabatic Berry Phases in Generalized J-C Model of Multi-Photon Process

We derive the adiabatic and non-adiabatic Berry phases in the generalized Jaynes-Cummings model of multi-photon process. The results show that the adiabatic Berry phase is kept a constant π independent of all the parameters, while the non-adiabatic approximate Berry phase is parameter-dependent, proportional to the average photon number m, and tends to be constant with the increasing detuning. In the case of exact n-photon resonance and an integer ratio of m/n, the two results coincide with each other, otherwise there appears an additional non-trivial phase factor.     

The Three Processes of Phase II – I Transformation of Isotactic Polybutene-1

The spontaneous transformation of the unstable tetragonal phase II to the stable twined hexagonal phase I of isotactic polybutene – 1 at room temperature and atmospheric pressure was shown to proceed by one of three different mechanisms with these mechanism being neutral (N), increasing (P) or decreasing (M) the phase transformation rate. The rate was shown to be influenced by environmental effects. The environment can increase or decrease the phase transformation rate and, to a smaller extent, influence the sample crystallinity and the amount of the residual, untransformed phase II. The transformation rate was principially affected by the segmental mobility, increased by solvents or decreased by some chemical compounds or groups (e.g.–CH₂-CH₂ – as a comonomer). The transformation rate of the M process starts after an induction period during which the transformation nuclei are blocked.