Symbolic-computation construction of transformations for a more generalized nonlinear Schrödinger equation with applications in inhomogeneous plasmas,optical fibers,viscous fluids and Bose-Einstein condensates

Currently, the variable-coefficient nonlinear Schr?dinger (NLS)-typed models have attracted considerable attention in such fields as plasma physics, nonlinear optics, arterial mechanics and Bose-Einstein condensates. Motivated by the recent work of Tian et al. [Eur. Phys. J. B 47, 329 (2005)], this paper is devoted to finding all the cases for a more generalized NLS equation with time- and space-dependent coefficients to be mapped onto the standard one. With the computerized symbolic computation, three transformations and relevant constraint conditions on the coefficient functions are obtained, which turn out to be more general than those previously published in the literature. Via these transformations, the Lax pairs are also derived under the corresponding conditions. For physical applications, our transformations provide the feasibility for more currently-important inhomogeneous NLS models to be transformed into the homogeneous one. Applications of those transformations to several example models are illustrated and some soliton-like solutions are also graphically discussed.     

Visible-light-mediated external-reductant-free reductive cross coupling of benzylammonium salts with (hetero)aryl nitriles

Herein we report a novel visible-light-mediated external reductant-free reductive cross coupling for the construction of C sp~2–C sp~3 bonds. A variety of benzylammonium salts underwent selective coupling with(hetero)aryl nitriles to deliver important diarylmethanes under mild reaction conditions. Importantly, photocatalysts can be omitted for many cases, which might involve the electron donor acceptor(EDA) complex. Mechanistic studies indicated benzylic radicals might be involved as the key intermediates. Moreover, the in situ generated NMe_3 via cleavage of C–N bond in ammonium salts acts as the electron donor,thus avoiding the use of external-reductant.     

Interaction of water-soluble cationic porphyrin with anionic surfactant

The interaction of a cationic water-soluble porphyrin, 5,10,15,20-tetrakis [4-(3-pyridiniumpropoxy)phenyl]porphyrin tetrakisbromide (TPPOC3Py), with anionic surfactant, sodium dodecyl sulfate (SDS), in aqueous solution has been studied by means of UV-vis, (1)H NMR, fluorescence, circular dichroism (CD) spectra and dynamic laser light scattering (DLLS), and it reveals that TPPOC3Py forms porphyrin-surfactant complexes (aggregates), including ordered structures J- and H-aggregates, induced by association with surfactant monomers below the SDS critical micelle concentration (cmc), and forms micellized monomer upon the cmc, respectively. The position of TPPOC3Py in the micelle is determined, which is not in the micelle core instead of intercalated among the SDS chains, most likely with the pyridinium group extending into the polar headgroup region of the micelle.     

含双咪唑配体的锌配位聚合物的晶体结构、荧光性质及抑菌性能研究

本文报道了一个基于双咪唑配体的锌配位聚合物[Zn(oxa)(bbi)]n(1)(oxa=草酸,bbi=1,1′-(1,4-丁二基)双咪唑),并对该化合物进行元素分析、红外和X-射线单晶衍射分析。结果表明标题化合物通过配位键和π-π堆积作用力形成了一个由(4,4)拓扑形状的二维网络组成的具有大孔洞的三维金属有机框架结构。除此之外,测定了配合物1的荧光发射光谱并对其微生物抑菌性能进行了初步研究。     

利用荧光响应的台式生化需氧量传感仪器的研制

利用氧荧光猝灭原理研制了台式生化需氧量(BOD)传感检测仪器。仪器的工作系统由检测系统和软件系统两部分组成。该检测仪操作简便,检测快速,可进行海水BOD含量的现场检测。仪器的性能考察结果表明,在0.5~50mg/L浓度范围内BOD响应的线性相关系数为0.9978。实际海水样品的检测结果显示,仪器对海水样品的平行测定结果相对标准偏差小于±5%,并且与标准五日生化需氧量(BOD5)方法所获得的数值的相关性为0.99。仪器具有较长的使用寿命和良好的稳定性。     

界面形核时间对GaN薄膜晶体质量的影响

利用金属有机化学气相沉积技术系统研究了界面形核时间对c面蓝宝石衬底上外延生长GaN薄膜晶体质量的影响机理. 用原子力显微镜、扫描电子显微镜、高分辨X射线衍射仪以及光致发光光谱仪表征材料的晶体质量以及光学性质. 随着形核时间的延长, 退火后形成的形核岛密度减小、尺寸增大、均匀性变差, 使得形核岛合并过程中产生的界面数量先减小后增大, 导致GaN外延层的螺位错和刃位错密度先减小后增大, 这与室温光致发光光谱中得到的带边发光峰与黄带发光峰的比值先增大后降低一致. 研究结果表明, 外延生长过程中, 界面形核时间会对GaN薄膜中的位错演变施加巨大影响, 从而导致GaN外延层的晶体质量以及光学性质的差异.     

Mn2+掺杂对低温生长ZnS的形貌及光致发光性能的影响

以Zn粉和S粉为原料,Au纳米颗粒为催化剂,采用低温(450℃)化学气相沉积法(CVD),在Si(100)衬底上制备了未掺杂和Mn2+掺杂的ZnS微纳米结构.利用X射线衍射仪(XRD)、能量弥散X射线谱(EDS)、场发射扫描电子显微镜(SEM)和光致发光光谱(PL)等测试手段对样品的结构、成分、形貌和发光性能进行了分析.结果表明,所得ZnS样品均为六方纤锌矿结构,未掺杂的ZnS为微纳米球,在波长为450和463 nm处有2个发光强度较大的蓝光峰;Mn2+掺杂ZnS为纳米线,在波长479和587 nm处分别有1个微弱的蓝光峰和1个强度相对较大的红光峰.此外,还对ZnS微纳米结构的形成过程进行了探讨,并提出了可能的形成机理.     

基于刚性配体的一种铜(Ⅱ)配合物的合成、表征、晶体结构及DFT计算

利用二价铜盐和刚性多齿配体Hdpdapt合成了一种配位化合物[Cu(dpdapt)(cro)].CH3OH(1)(Hdpdapt=N,N′-di(2-pyridyl)-2,4-diamino-6-pheny-1,3,5-triazine,Hcro=CH2=C(Me)COOH)。用X-射线单晶衍射测定了该配合物的晶体结构:配合物属单斜晶系,P21/n空间群,通过反向平行的二聚体进一步组装成一维超分子链。此外,还测定了该配合物的热重性质。使用密度泛函理论(DFT)中的B3LYP方法对配合物1的几何参数进行优化,并解释其配位性质。通过B3LYP理论中NBO对配合物1和配体Hdpdapt的电子结构的分析,证实了配合物中的协同效应。     

Auto-Baecklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

Using the truncated Painlevé expansion, an auto-Baecklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili （GKP） equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries （cKdV） equation, the cylindrical KP （cKP） equation and the generalized cKP （GcKP） equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.     

Painleve Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev--Petviashvili Equation with Symbolic Computation

A variable-coemcient Kadomtsev-Petviashvili equation is investigated. The Painlev6 analysis leads to its explicit Painlevd-integrable conditions. An auto-Backlund transformation and the bilinear form are presented via the truncated Painlev6 expansion and symbolic computation. Several families of new analytic solutions arepresented, including the soliton-like and periodic solutions.