Approximate solution for the Klein-Gordon-SchrSdinger equation by the homotopy analysis method

The Homotopy analysis method is applied to obtain the approximate solution of the Klein-Gordon Schrodinger equation. The Homotopy analysis solutions of the Klein-Gordon Schrodinger equation contain an auxiliary parameter which provides a convenient way to control the convergence region and rate of the series solutions. Through errors analysis and numerical simulation, we can see the approximate solution is very close to the exact solution.     

Adaptive Function Projective Synchronization of Discrete-Time Chaotic Systems

By backstepping control law and the active control method, adaptive function projective synchronization of 2D and 3D discrete-time chaotic systems with Uncertain parameters are investigated. To illustrate the effectiveness of the new scheme, some numerical examples are given.     

音叉式石英晶振共振频率对QEPAS传感器性能影响的研究

以标准商用石英音叉（QTF）为测声模块的石英增强光声光谱（QEPAS）技术是近年来发展迅速的一种痕量气体检测技术。标准商用QTF拥有的小体积,高Q值,高共振频率的特性使QEPAS技术具有结构紧凑且对环境噪声免疫的特性。但传统商用QTF狭窄的振臂间距以及较高的共振频率,使其无法在光源光束质量较差或被测气体弛豫率较低的情况下被很好的应用于QEPAS系统。为克服上述难题,非标准商用QTF（f₀≠32.7 kHz）被设计制作并越来越多的被装配于QEPAS系统中。因此,QTF共振频率对QEPAS系统信噪比的影响需要被详细研究。以水汽为目标气体,采用二次谐波调制解调技术研究了QTF共振频率对基于QEPAS技术传感器性能的影响。实验结果表明,QTF共振频率的变化对QEPAS系统的输出信号及噪声均有显著影响且QTF共振频率与QEPAS系统信噪比之间存在反比关系。上述结论对QEPAS系统中非标准QTF的设计及使用均具有重要的指导价值,对该类传感器的研发及应用意义重大。     

Symmetry and general symmetry groups of the coupled Kadomtsev--Petviashvili equation

In this paper, the Lie symmetry algebra of the coupled Kadomtsev--Petviashvili (cKP) equation is obtained by the classical Lie group method and this algebra is shown to have a Kac--Moody--Virasoro loop algebra structure. Then the general symmetry groups of the cKP equation is also obtained by the symmetry group direct method which is proposed by Lou et al。 From the general symmetry groups, the Lie symmetry group can be recovered and a group of discrete transformations can be derived simultaneously. Lastly, from a known simple solution of the cKP equation, we can easily obtain two new solutions by the general symmetry groups.     

计及轴颈倾斜的径向滑动轴承湍流润滑分析

分析了轴颈倾斜状态下,径向滑动轴承的湍流润滑性能. 基于轴颈倾斜的统一Reynolds方程和能量方程,应用有限差分法求解了不同轴颈倾斜方位角、轴颈倾斜度、偏心率和平均雷诺数下的径向滑动轴承湍流润滑性能. 结果表明:轴颈倾斜方位角α=0°时,随着轴颈倾斜度的增大,轴承油膜的压力峰向轴承一端移动,轴承一端的轴向油膜温度梯度增大;α=90°时,随着轴颈倾斜度的增大,轴承油膜压力逐渐出现双峰分布,且向轴承两端移动,轴承两端的轴向温度梯度也不断增大. 在相同轴颈倾斜度增量下,轴承最大油膜压力、最高油膜温度、承载力和稳定工作力矩的增量随轴承中央截面偏心率的增大而增大. 相同轴颈倾斜度增量下,轴承最大油膜压力增量、最高油膜温度增量、承载力增量、摩擦系数减量和稳定工作力矩增量随平均雷诺数的增大而增大. 可见,径向滑动轴承湍流润滑分析中有必要考虑轴颈倾斜因素的影响.      

基于晶体旋光效应的近场光学空间滤波

 在激光传输与放大系统中,激光束的空间滤波是光束质量控制的重要环节。利用各向同性晶体的旋光性,采用偏振光检偏法选择不同空间频率光束的通过与阻挡,实现激光光束的近场空间滤波。用多个滤波器串接构成滤波器组,可提高光束空间窄带滤波性能。该方法有利于克服激光工程中采用4f滤波带来的空间滤波器体积庞大与抽空耗能的缺点。     

有机化合物对电感耦合等离子体质谱(ICP-MS)法测定食品中总砷的影响

目的 研究有机化合物对电感耦合等离子体质谱法（ICP-MS）测定食品中总砷的影响,分析总结一般规律,为食品中总砷的准确测定提供理论依据。方法 研究了甲醇和乙醇等14种有机化合物对ICP-MS测定砷的动能歧视模式（KED）信号值和动态反应模式（DRC）信号值的影响,通过分析各有机化合物的电离能、极性和溶解度等性质,推测其在ICP-MS测定体系中对砷响应信号值增敏或者抑制的可能机理。结果 有机化合物对ICP-MS的KED模式测定砷离子As+的信号值有增敏效应,对DRC模式测定氧化砷离子AsO+信号值的影响小于KED模式测定As+的信号值,而且过程也更为复杂。相反,氮氧化物会减弱As+和AsO+的信号值。锗、铟等内标元素原子与砷原子在等离子体中电离行为和灵敏度的差异,使得内标元素校准砷测定信号的漂移受到干扰。结论 推测有机化合物影响ICP-MS测定砷响应信号值的可能机理是：有机化合物和氮氧化物经电离或裂解之后分别生成碳离子或多原子碳离子和氮氧离子或氮氧基团,碳离子或多原子碳离子会与砷原子发生电荷转移反应,增强As+或AsO+的信号值,同时有机化合物也可能会与As+竞争氧气而降低AsO+的信号值,而具有强电负性的氮氧基团可能会与As+和AsO+发生电荷转移反应而减弱其信号值。有机化合物对砷的ICP-MS响应信号值的影响可能是受到有机化合物电离能、溶解度、极性和分子结构等综合因素的结果。     

自修复超疏水涂层材料研究进展

超疏水涂层材料具有自清洁、减阻、防雾、防黏附等特点,被广泛应用于防腐涂层、管道运输、油水分离等领域。但超疏水涂层材料在使用过程中由于物理磨损和化学腐蚀等原因易使其丧失超疏水性能,限制了其在工业中的实际应用,因此自修复超疏水涂层材料应运而生,且成为近年来的研究热点。本文综述了自修复超疏水涂层材料的最新研究进展,总结并对比了外援型自修复超疏水涂层材料和本征型自修复超疏水涂层材料的优缺点,同时对该领域的未来发展前景进行了简要展望。     

Data-Driven Ai-and Bi-Soliton of the Cylindrical Korteweg–de Vries Equation via Prior-Information Physics-Informed Neural Networks

<正>By the modifying loss function MSE and training area of physics-informed neural networks (PINNs), we propose a neural networks model, namely prior-information PINNs (PIPINNs). We demonstrate the advantages of PIPINNs by simulating Ai-and Bi-soliton solutions of the cylindrical Korteweg–de Vries (cKdV) equation.     

Solitons for a generalized variable-coefficient nonlinear Schrdinger equation

In this paper,we investigate some exact soliton solutions for a generalized variable-coefficients nonlinear Schrdinger equation (NLS) with an arbitrary time-dependent linear potential which describes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensations. Under some reasonable assumptions,one-soliton and two-soliton solutions are constructed analytically by the Hirota method. From our results,some previous one-and two-soliton solutions for some NLS-type equations can be recovered by some appropriate selection of the various parameters. Some figures are given to demonstrate some properties of the one-and the two-soliton and the discussion about the integrability property and the Hirota method is given finally.