New Complexiton Solutions of (2+1)-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the (2 1)-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.     

New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the （2＋ 1 ）-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.     

太赫兹时域频谱信噪比分析与规范性研究

基于飞秒激光的太赫兹脉冲时域光谱技术,已经成为诸多科学领域研究中有效的新手段。文章分析了太赫兹时域系统频谱采集方式的特点,提出标准信噪比的概念,使不同的太赫兹时域频谱仪可以在同一标准下进行量化评价。在研究了信噪比特点的基础上,给出了太赫兹时域频谱信噪比的简单获取方法。并采用这种方法对几个著名太赫兹研究小组的时域频谱系统的信噪比进行了比对。该方法让使用者只须获取单次测量数据就能换算出系统的标准信噪比,给用户评价太赫兹时域频谱系统带来了极大便利。     

Propagation of nonparaxial beams with a modified Arnoldi method

We have developed a modified Arnoldi method that includes a complex square-root approximation, which excels at modeling the propagation of highly diverging beams in various media. Simulations of one transverse dimensional beam with an ultranarrow width and of cylindrical Gaussian beams with various divergence angles reveal the strength of this nonparaxial-beam propagation method.     

解析动态光谱的奇异值分解最小二乘法的改进

本文改进了处理动态光谱的奇异值分解最小二乘法（SVDLS），通过对模拟的蛋白质二级结构的动态圆二色谱和小牛胸腺DNA在电化学过程中动态紫外光谱的分析，表明该方法不仅给出动态过程中所包含的组分数，而且可同时获得各组分的光谱和各组分分数的分布曲线，是多种动态光谱数据处理的有效的无模型方法。     

应用未确知数学理论评价物理实验室的优劣

应用未确知数学的理论与方法,给出了一种较科学的物理实验室评价方法,该方法能够全面、客观和准确地反映被评实验室的优劣,可广泛用于各类评价工作.     

Complexiton solutions of the （2＋1）-dimensional dispersive long wave equation

In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to construct a novel class of complexiton solutions to integrable equations and nonintegrable equations. By solving the (2+1)-dimensional dispersive long wave equation, it obtains many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rational function solutions, etc.     

Plate wave resonance — a contactless test method

A method is described whereby plate waves can be excited in thin sheets (such as paper or cardboard) directly from air without touching the sample. Using this contactless method, non-destructive testing of the elastic properties of various papers can be performed. The method may prove to be useful in “on-line” testing of various other, non-woven materials like plastic sheets.     

大平板瞬态热传导问题的一种新的近似解法

１引言大平板瞬态热传导问题有着广泛的工程应用背景。对于复杂的初边值条件或含内热源问题,以及工程上常见的多层复合平壁对象,分析求解难度很大甚至无法求解。在此类情况下往往采用数值方法。但是单纯的数值解不便于理解影响该问题的各种参数的物理意义。因此,各种近似分析方法得到了发展［１,２］。但在近似精度上,往往难以对整个时间坐标范围都达到较高的精度,这就使得近似解更多地局限于定性分析。此外,对于不同的初边值条件或含内热源问题,近似解的形式相异,降低了解的通用性。增加了求解的工作量。本文提出一种基于矩阵理论…     

Breakdown Pattern of Hydrocarbons by Laser Breakdown Time-of-flight Mass Spectrometry

The laser breakdown time-of-flight mass spectrometry was developed and applied to detect the breakdown patterns of hydrocarbons that are significant to improve the detectability of heavy metals compounded in various mixtures such as particles and hydrocarbons. The laser wavelength dependence of this method was evaluated using 1064, 532, and 266 nm laser outputs. Breakdown processes using 1064 and 532 nm outputs showed less interference of fragmentation for the detection of various heavy metals. The method was applied to various hydrocarbons and it showed the possibility of categorization of hydrocarbon groups using the pattern of breakdown products.