通过Painlevé分析从低维模型中寻找高维可积模型

将Painlevé方法推广到更一般的形式, 可以从给定的低维可积模型中得到无穷多个新的可积模型. 新的可积模型与原模型相比都是较高维的, 它们保持保角不变性和Painlevé性质. 本文主要以KdV、NLS和KP方程为例, 运用WTC法、截断展开、领头项分析等方法, 给出了(3+1)维可积模型的具体形式.     

伊文思蓝作荧光探针研究牛血清白蛋白与氨苄青霉素之间的竞争反应

用伊文思蓝(Evans blue, EB)作荧光探针研究了氨苄青霉素(Ampicillin, A)对牛血清白蛋白(Bovine serum albumin, BSA)的竞争反应. 伊文思蓝与牛血清白蛋白作用, 使牛血清白蛋白荧光发生猝灭, 根据Stern-Volmer方程及荧光寿命研究了荧光猝灭的类型及机理. 结果表明, 猝灭类型为静态猝灭, 即伊文思蓝和牛血清白蛋白形成了一种稳定的复合物. 伊文思蓝与牛血清白蛋白的结合常数KBSA-EB=1.122×106 L/mol, 结合点数n=0.9935, 并确定了EB和BSA之间的热力学常数及作用力类型. 当加入氨苄青霉素后, 牛血清白蛋白的相对荧光强度恢复. 这表明氨苄青霉素与伊文思蓝对牛血清白蛋白发生了竞争反应. 探讨了该竞争反应的相关机理, 求出了伊文思蓝与氨苄青霉素的结合常数为KEB-A=7.131×105 L/mol.     

一类广义Heisenberg-Virasoro代数的导子

主要研究了一类非有限分次的广义Heisenberg-Virasoro代数HV,并给出了HV导子的具体结构.为了计算HV的导子Der HV,可以把它分解成内导子adHV和阶为零次的导子(Der HV)_0之和.     

Multiple Soliton Solutions of Alice–Bob Boussinesq Equations

Three Alice-Bob Boussinesq(ABB) nonlocal systems with shifted parity■, delayed time reversal■ and ■ nonlocalities are investigated. The multi-soliton solutions of these models are systematically found from the ■ symmetry reductions of a coupled local Boussinesq system. The result shows that for ABB equations with ■ nonlocality, an odd number of solitons is prohibited. The solitons of the ■ nonlocal ABB and ■ nonlocal ABB equations must be paired, while any number of solitons is allowed for the ■ nonlocal ABB system. t-breathers, x-breathers and rogue waves exist for all three types of nonlocal ABB system.In particular, different from classical local cases, the first-order rogue wave can have not only four leaves but also five and six leaves.     

羟基磷灰石对氟离子的吸收作用

用基准NaF配置标准溶液,用氟离子选择性电极测定氟离子的标准曲线,将自制的羟基磷灰石(HAP)粉体放入三组不同配方的NaF溶液浸泡,测定HAP在吸收氟离子的过程中溶液的pH值和氟离子浓度的变化,并利用XRD、TEM、EDS等对吸附氟离子的HAP粉体进行检测.结果表明,HAP对氟离子的吸附动力学相对于Lagergren拟一级速率方程,更符合Lagergren拟二级速率方程,线性相关系数R2为1.降低pH值可以提高氟离子吸收率,HAP在吸收氟离子的同时释放出大量的氢氧根,提高了溶液的pH值.吸收氟离子后粉末晶体的XRD图谱的测试结果与FAP的图谱相一致,微观结构相近均为棒状结构,EDS结果表明粉体晶体结构中掺杂了大量的氟离子,得到的粉末晶体为FAP.     

Measurement of absolute phase Shift on reflection of thin films using white-light spectral interferometry

A novel method to measure the absolute phase shift on reflection of thin film is presented utilizing a white-light interferometer in spectral domain. By applying Fourier transformation to the recorded spectral interference signal, we retrieve the spectral phase function Ф, which is induced by three parts： the path length difference in air L, the effective thickness of slightly dispersive cube beam splitter Teff and the nonlinear phase function due to multi-reflection of the thin film structure. We utilize the fact that the overall optical path difference （OPD） is linearly dependent on the refractive index of the beam splitter to determine both L and Teff. The spectral phase shift on reflection of thin film structure can be obtained by subtracting these two parts from Ф. We show theoretically and experimentally that our new method can provide a simple and fast solution in calculating the absolute spectral phase function of optical thin films, while still maintaining high accuracy.     

Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping

The approximate symmetry perturbation method is applied to the nonlinear damped wave equation. The approximate symmetry reduction equations of different orders are derived and the corresponding series reduction solutions are obtained.     

荧光探针法研究铜离子-姜黄素体系中1O2的反应机理及在O2·-存在下1O2的测定

以1,3-二苯基异苯并呋喃(1,3-Diphenylisobenzofuran, DPBF)为荧光探针, 研究了姜黄素(Curcumin, CUR)在铜离子催化下产生的单线态氧(1O2), 其反应机理为姜黄素与溶液中的氧分子快速作用产生O2·-和H2O2等活性氧物种, 同时Cu2+与姜黄素形成复合物, 再与H2O2形成过氧化物过渡态, 过氧化物进一步与H2O2发生类Haber-Weiss反应生成1O2, 且只有Cu2+和Cu+离子可催化姜黄素并产生1O2. 1O2在1.37×10-8～3.66×10-7 mol/L浓度范围内与荧光强度下降值ΔIF有良好的线性关系, 检出限为4.12×10-9 mol/L.     

Ni/Ce-ZrO2/γ-Al2O3催化剂上高温焦炉煤气中焦油组分的常压加氢裂解

采用分步浸渍法制备了Ni/Ce-ZrO2/γ-Al2O3催化剂,并采用X射线衍射、透射电子显微镜、N2物理吸附和程序升温还原等方法对其进行了表征.该催化剂在以甲苯和萘为焦油模拟化合物的高温焦炉煤气常压加氢裂解反应中表现出良好的催化性能和一定的耐硫能力.在较低的水/碳摩尔比(S/C=0.44)条件下,甲苯和萘能够完全转化为小分子气体.向Ni/γ-Al2O3催化剂中加入适量的铈锆氧化物,能促使催化剂表面形成尺寸更小的镍纳米晶粒,并有效地抑制镍晶粒烧结,从而显著提高催化剂的稳定性.该类催化剂有望应用于具有较低水/碳摩尔比的高温焦炉煤气中焦油的直接除去.     

荧光猝灭法测定次黄嘌呤及机理研究

研究了次黄嘌呤猝灭伊文思蓝的荧光猝灭机理并根据次黄嘌呤对伊文思蓝荧光的猝灭作用建立了测定次黄嘌呤的新方法.线性回归方程为:ρ=6.292×103F-1-26.49,相关系数为0.9990,线性范围为0.20～20.0 μg/mL,检出限为0.14 μg/mL,相对标准偏差(RSD)为2.5%.求算了伊文思蓝与次黄嘌呤的形成常数K=2.63×102L/moL,实验了pH、放置时间、干扰离子等对测定的影响.