Fokas-Lenells方程的代数几何解

从一个给定的谱问题出发,利用Lenard梯度序列推导出Fokas-Lenells方程.随后,这个方程被分解为可解的常微分方程.基于Lax矩阵的有限阶展开,引入了椭圆坐标,从而,流可以在Abel-Jacobi坐标下被拉直.最后,利用Riemann θ函数得到了Fokas- Lenells方程的代数几何解的表示.     

Nucleophilic opening of epoxyazepanes: expanding the family of polyhydroxyazepane-based glycosidase inhibitors

A range of new tetra- and pentahydroxylated seven-membered iminoalditols has been efficiently synthesized from epoxyazepane precursors via nucleophilic opening with hydride or oxygenated species and subsequent hydrogenolysis. One tetrahydroxylated azepane, a ring homologue of deoxymannojirimycin, displays a selective and fairly good inhibition of alpha-L-fucosidase.     

双材料界面Ⅰ型扩展裂纹尖端的弹黏塑性场

双材料界面中存在材料黏性效应, 对界面裂纹尖端场的分布和界面本身性能 的变化起着重要的影响. 考虑裂纹尖端的奇异性, 建立了双材料界面扩展裂纹尖端的弹黏塑 性控制方程. 引入界面裂纹尖端的位移势函数和边界条件, 对刚性-弹黏塑性界面I型界面 裂纹进行了数值分析, 求得了界面裂纹尖端应力应变场, 并讨论了界面裂纹尖端场随各影响 参数的变化规律. 计算结果表明, 黏性效应是研究界面扩展裂纹尖端场时的一个主要因素, 界面裂纹尖端为弹黏塑性场, 其场受材料的黏性系数、马赫数和奇异性指数控制.     

光弹性贴片盲孔测残余应力西田法之改进与厚度效应修正系数讨论

本文介绍了改进的光弹性贴片盲孔法测残余应力的计算公式,并与西田正孝计算公式进行了对比。进行了单向均匀拉伸板模拟残余应力试验验证,以及对接焊板残余应力实测。     

夸克激发与质子自旋

提出一种新的重子波函数,它由SU(6)对称的三夸克组态和伴随的海夸克激发与价夸克激发组态构成.用此波函数对GA/GV,μP/μn及夸克自旋对质子自旋贡献的计算结果与实验数据符合甚好.     

New exact solutions of the Broer–Kaup equations in (2 + 1)-dimensional spaces

With the aid of Maple, several new kinds of exact solutions for the Broer–Kaup equations in (2 + 1)-dimensional spaces are obtained by using a new ansätz. This approach can also be applied to other nonlinear evolution equations.     

反相高效液相色谱法同时测定6种氟喹诺酮类药物

建立了一种反相高效液相色谱-荧光检测法同时测定血浆中6种氟喹诺酮类药物(FQS)的方法。考察了6种FQS的保留值与流动相组成及pH值的关系, 优化了色谱条件及样品前处理方法。确定了以Chira Dex为色谱柱、乙腈-甲醇-Britton-Robinson缓冲液(体积比为73∶7∶20, pH 5.7)为流动相的最佳条件。该法用于血浆样品中FQS的测定,其回收率高于99.0%。该法简便、快速、准确、灵敏度高、重现性好。     

Relationships between the structural properties and the superconductivity in Y0:4Pr0:6Ba2-xSrxCu3O7-δ (x = 0;1:0)

The Y_0:4Pr_0:6Ba_2-xSr_xCu₃O_7-δ (x = 0;1:0) samples were prepared and the structural properties were studied by X-ray Rietveld analysis. It has been found that the average Pr-O bond length increases from 2.435Å at x = 0 to 2.457Å at x = 1:0, the Cu(2)-O-Cu(2) angles within the CuO₂ planes become larger, and there is no significant mutual substitution between Pr and Sr ions. The BVS calculation suggests that Sr doping brings about the increase of the hole concentration on CuO₂ planes and the weakening of Pr-O covalent mixing. Our work supports that Pr-O covalent mixing effect is responsible for the superconductivity suppression by Pr.     

Significant Improvements in CO2 Capture by Pyridine‐Containing Anion‐Functionalized Ionic Liquids through Multiple‐Site Cooperative Interactions

A strategy for improving CO₂ capture by new anion‐functionalized ionic liquids (ILs) making use of multiple site cooperative interactions is reported. An extremely high capacity of up to 1.60 mol CO₂ per mol IL and excellent reversibility were achieved by introducing a nitrogen‐based interacting site on the phenolate and imidazolate anion. Quantum‐chemical calculations, spectroscopic investigations, and calorimetric data demonstrated that multiple‐site cooperative interactions between two kinds of interacting sites in the anion and CO₂ resulted in superior CO₂ capacities, which originated from the π‐electron delocalization in the pyridine ring.     

On the Lie Algebras,Generalized Symmetries and Darboux Transformations of the Fifth-Order Evolution Equations in Shallow Water

By considering the one-dimensional model for describing long, small amplitude waves in shallow water, a generalized fifth-order evolution equation named the Olver water wave(OWW) equation is investigated by virtue of some new pseudo-potential systems. By introducing the corresponding pseudo-potential systems, the authors systematically construct some generalized symmetries that consider some new smooth functions{Xiβ}i=1,2,···,nβ =1,2,···,N depending on a finite number of partial derivatives of the nonlocal variables vβand a restriction ∑iα,β(? ξi/?vβ)2+(?ηα/?vβ)2≠0, i.e.,∑i,α,β(?Gα/?vβ)2≠0. Furthermore,the authors investigate some structures associated with the Olver water wave(AOWW)equations including Lie algebra and Darboux transformation. The results are also extended to AOWW equations such as Lax, Sawada-Kotera, Kaup-Kupershmidt, It and Caudrey-Dodd-Gibbon-Sawada-Kotera equations, et al. Finally, the symmetries are applied to investigate the initial value problems and Darboux transformations.