Breathers and Rogue Waves Derived from an Extended Multi-dimensional N-Coupled Higher-Order Nonlinear Schrödinger Equation in Optical Communication Systems

In this paper, an extended multi-dimensional N-coupled higher-order nonlinear Schrödinger equation (NCHNLSE), which can describe the propagation of the ultrashort pulses in wavelength division multiplexing (WDM) systems, is investigated. By the bilinear method, we construct the breather solutions for the extended (1+1), (2+1) and (3+1)-dimensional N-CHNLSE. The rogue waves are derived as a limiting form of breathers with the aid of symbolic computation. The effect of group velocity dispersion (GVD), third-order dispersion (TOD) and nonlinearity on breathers and rogue waves solutions are discussed in the optical communication systems.     

分析端接频变负载的多导体传输线FDTD新方法

提出了一种新的有效求解端接频变负载的时域有限差分法（FDTD）.该方法将频域导纳经矢量匹配后以有理式表示,通过逆傅里叶变换将其转换到时域,基于分段线性递归卷积法,推导出该导纳两端的电压和电流关系,将其代入到传输线FDTD模型中,得到了求解端接频变负载多导体（MTL）传输线FDTD的一般公式.对一典型电路进行了仿真,和以状态变量法求解任意负载的结果进行了对比,两者基本重合,说明该方法用来求解频变负载是有效的. 关键词： 多导体传输线 分段线性递归卷积 时域有限差分法 任意负载     

可以作为宇宙结构特征的作用量■(n)——天文系统的角动量、质量和两者的关系

通过一般的理论考虑,本文得到了可以作为特征物质在宇宙中各种典型尺度n上的行为作用量子,其中h,G,e和m_a分別是Planck作用量子、引力常数、基本电荷和基本粒子的有效质量,n是尺度参数。由此进一步得到了可与观测比较的、各种天文系统的特征角动量谱J(n)=hⁿ、质量谱Mⁿ=(hⁿCα/G)^1/2和两者的关系Jⁿ/(Mⁿ)²≈G/Cα,其中C是光速、α是精细结构常数。     

New Families of Nontravelling Wave Solutions to Two (3+1)-Dimensional Equations

In this paper, two (3+1)-dimensional equations are investigated. Auto-Bäcklund transformation is obtained, which is used with some ansatze to seek new types of exact solutions including some arbitrary functions. When these arbitrary functions are taken as some special functions, these solutions possess abundant structures. These solutions contain soliton-like solutions and rational solutions.     

New Method for Finding a Series of Exact Solutions to Generalized Breaking Soliton Equation

In this paper, a new generalized extended tanh-function method is presented for constructing soliton-like,period-form solutions of nonlinear evolution equations (NEEs). This method is more powerful than the extended tanhfunction method [Phys. Lett. A 277 (2000) 212] and the modified extended tanh-function method [Phys. Lett. A 285 (2001) 355]. Abundant new families of the exact solutions of Bogoyavlenskii‘s generalized breaking soliton equation are obtained by using this method and symbolic computation system Maple.     

New Families of Exact Solutions for (2+1)-Dimensional Broer-Kaup System

Using a further modified extended tanh-function method, rich new families of the exact solutions for the (2+1)-dimensional Broer-Kaup (BK) system, comprising the non-traveling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, periodic form solutions, are obtained.     

TiO2 /wAC复合光催化剂的酸催化水解合成及表征

以TiCl4为钛源, 采用酸催化水解法合成了活性炭(AC)复合光催化剂TiO2/wA(w:AC 的质量分数, %). 通过对苯酚、甲基橙以及六价铬的光催化降解, 考察了AC 含量、反应溶液初始pH值、使用次数对TiO2/wAC光催化剂催化活性的影响,并采用重力沉降法测试了催化剂分离性能. 采用XRD、DRS、FTIR、SEM、低温液氮吸附等对光催化剂晶相结构、光谱特征、表面结构等进行了表征. 结果表明, 适宜AC 含量的TiO2/wAC(wAC=5%, 记为5AC)具有较高的光催化活性.AC 掺杂可减小TiO2粒子凝聚, 而对TiO2的晶相结构、晶粒大小以及表面性质影响不大, 对TiO2能阈结构不产生影响. TiO2与AC结合牢固, 接触界面处有Ti—O—C 键生成. TiO2/5AC 表现出高光催化活性的主要原因是, AC 所提供的适宜高浓度环境及对纳米尺寸TiO2团聚的有效抑制. TiO2/5AC的高活性, 不易失活, 易分离以及活性受pH 变化影响较小的特性,使其在实际废水处理方面具有潜在应用价值.     

TiO2纳米管阵列的制备、改性及其应用研究进展

新型纳米材料TiO₂纳米管阵列具有独特的、高度有序的阵列结构和良好的力学性能、化学稳定性以及抗腐蚀性能。该材料以纯金属钛为基体，在含有少量氟离子的电解质溶液中通过电化学阳极氧化法制得。本文综述了近年来TiO₂纳米管阵列在不同电解液体系中的制备工艺、形成机理、修饰改性及其在光催化降解污染物、太阳能电池、气敏传感材料、光解水制氢等领域应用的最新研究成果，并指出目前存在的问题，对今后的研究提出了展望。     

激光剥蚀ICP-MS法测定盐类矿物单个流体包裹体的成分

采用纯石英毛细管人工流体包裹体作为校准样品,通过对系列人工流体包裹体激光剥蚀电感耦合等离子体质谱(LA-ICP-MS)测试分析,初步建立了LA-ICP-MS分析盐类矿物单个流体包裹体化学组成的分析方法流程以及包裹体中8种常见元素K,Ca,Mg,Sr,Rb,B,Li和Br的校准曲线。其中,K,Ca,Mg,Sr,Rb和Li的校准曲线的相关系数R2>0.9991;相对标准偏差为0.1%～6.2%;B和Br的校准曲线的相关系数R2稍低,分别为0.9910和0.9618;相对标准偏差4.1%～29.6%。校准曲线结果表明,建立的盐类矿物单个流体包裹体原位ICP-MS多元素定量分析方法是可行的,并且是较准确的。本方法简便、快速、灵敏度高。运用本方法对新疆罗布泊石盐和石膏矿物流体包裹体进行了测试,取得了满意的结果。     

New Multiple Soliton-like and Periodic Solutions for (2+1)-Dimensional Canonical Generalized KP Equation with Variable Coefficients

In this paper, the generalized tanh function method is extended to (2 1)-dimensional canonical generalized KP (CGKP) equation with variable coefficients. Taking advantage of the Riccati equation, many explicit exact solutions,which contain multiple soliton-like and periodic solutions, are obtained for the (2 1)-dimensional CGKP equation with variable coefficients.