Double degeneration on second-order breather solutions of Maxwell–Bloch equation

The breather solutions of the Maxwell–Bloch equations in a two-level resonant system associated with the self-induced transparency phenomenon are constructed by the Darboux transformation. After constructing the formulas of the second-order breather solutions, the double degeneration and hybrid solutions are studied by the analytical form as well as figures. Our results might be helpful in such application or prevention of the rogue waves from breather solution interactions and degeneration in the nonlinear optical systems associated with the Maxwell–Bloch equations.     

噻吩环取代掺杂一维共轭碳基材料的电子输运

一维共轭碳基材料以苯环为基本单元,具有优越的导电性,分子光电器件的发展要求其在高导电性的前提下兼具富电子或少电子特征.本工作设计了噻吩环取代掺杂一维共轭碳基材料的寡聚苯并[1,2-b：4,5-b']二噻吩（BmT）和寡聚噻吩（TnP）分子模型,利用密度泛函理论结合非平衡格林函数方法研究了掺杂位置和掺杂程度对其输运行为的影响.噻吩环在一维共轭碳基材料上的取代掺杂有效提升了材料的电子输运效率.BmT和TnP分子的导电特性随分子长度的变化表明分子的共轭程度决定了电子输运效率.反式BmT和TnP分子具有多条电子传输路径,而顺式BmT和TnP分子随着分子长度增加,经历了由单条电子传输路径至多条电子传输路径的转变.该研究结果为开发高性能碳基分子电子材料提供了重要参考.     

含噻唑、硫醚结构的1,2,4-三唑类化合物的合成及生物活性

以三氟乙酰乙酸乙酯、磺酰氯、水合肼、异硫氰酸苯酯、碘代芳烃、氯乙酸等为原料,设计、合成了7种新型的含噻唑环、硫醚和三氟甲基的1,2,4-三氮唑类化合物,通过¹H NMR、¹³C NMR、¹⁹F NMR和MS等技术手段对新化合物进行了结构表征。 杀菌活性测试表明,化合物6b、6d和6g在浓度为100 mg/L时对纹枯病菌(Rhizoctoniasolani)的抑制率分别为91%、92%和93%。     

Global stability of a class of delay differential systems

This paper is concerned with a class of systems of delay differential equations which are defined on the nonnegative function space. Under proper conditions, we employ a novel proof to establish several criteria of the global stability of positive equilibrium. Moreover, we give two examples to illustrate our main results.     

Existence and uniqueness of periodic solutions for forced Rayleigh-type equations

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of forced Rayleigh equation of the form

x^″+f(x^′(t))+g(t,x(t))=e(t).     

Multiple positive solutions for a semilinear elliptic equation with critical Sobolev exponent

In this paper, we study a class of semilinear elliptic equations with Hardy potential and critical Sobolev exponent. By means of the Ekeland variational principle and Mountain Pass theorem, multiple positive solutions are obtained.     

New Exact Solutions of （1 ＋ 1）-Dimensional Coupled Integrable Dispersionless System

This paper applies the exp-function method, which was originally proposed to find new exact travelling wave solutions of nonlinear evolution equations, to the Riccati equation, and some exact solutions of this equation are obtained. Based on the Riccati equation and its exact solutions, we find new and more generalvariable separation solutions with two arbitrary functions of (1+1)-dimensional coupled integrable dispersionless system. As some special examples, some new solutions can degenerate into variable separation solutions reported in open literatures. By choosing suitably two independent variables p(x) and q(t) inour solutions, the annihilation phenomena of the flat-basin soliton, arch-basin soliton, and flat-top soliton are discussed.     

悬浮聚合法制备罗丹明B磁性分子印迹微球及其性能

以罗丹明B（RhB）为模板分子,采用悬浮聚合法制备了罗丹明B磁性印迹微球（M-MIPs）,对其进行了结构表征,并与本体聚合的印迹材料进行了对比。 结果表明,2种聚合物中的Fe3O4均呈现良好的晶形。 悬浮法制得的M-MIPs呈球形,粒径在50 μm左右,其饱和磁化强度(5.406 emu/g)比本体法制得的M-MIP（1.772 emu/g）更大,有利于快速磁性分离。 悬浮法所得M-MIPs的吸附量是本体法所得M-MIPs吸附量的近1.8倍,且在吸附速率、选择性、重复使用性能等方面,均明显优于后者。 2种材料均符合Langmuir吸附模型;悬浮法所得M-MIPs对RhB的吸附过程更符合二级动力学方程,而本体法所得M-MIPs较符合一级动力学方程。 悬浮法制得的M-MIPs更适合于RhB的识别、富集与分析应用。     

不同温度下HMX和RDX晶体的感度判别和力学性能预估分子动力学比较研究

为探讨和比较炸药黑索金(RDX)和奥克托今(HMX)晶体的结构、 能量和力学性质随温度的递变规律, 在COMPASS力场和NPT系综下, 对其合适的等原子数超晶胞模型分别进行5个温度(195, 245, 295, 345和395 K)下的分子动力学(MD)周期性模拟研究. 结果表明, 随着温度的升高, RDX和HMX晶体引发键N-NO₂的最大键长(L_max)的逐渐增大以及引发键连双原子作用能(E_N-N)和内聚能密度(CED)的逐渐减小均与感度随温度升高而增大的实验结果一致; 且在各温度下, RDX晶体的L_max均大于HMX晶体的L_max, 与HMX相比, RDX的E_N-N和CED均较小, 上述结果与RDX比HMX感度大的实验结果相符. 由此表明, 在一定条件下, L_max, E_N-N和CED可用于高能物质的热和撞击感度的相对大小的判别. 基于MD模拟原子运动轨迹, 用静态法求得2种晶体的弹性力学性能, 发现拉伸、 体积和剪切模量均随温度的升高而递减, 与实验结果一致.