Reconstruction of stability for Gaussian spatial solitons in quintic–septimal nonlinear materials under $${{\varvec{\mathcal {P}}}}{\varvec{\mathcal {T}}}$$ P T -symmetric potentials

Nonlinear Dynamics - Gaussian spatial soliton solutions of both the constant-coefficient and variable-coefficient (2 + 1)-dimensional nonlinear Schrödinger equations in...     

Elastic interactions between multi-valued foldons and anti-foldons for the (2+1)-dimensional variable coefficient Broer–Kaup system in water waves

With the help of the improved tanh-function method, some exact variable separation solutions for a (2+1)-dimensional variable coefficient Broer–Kaup system in water waves are found. The detailed investigation indicates that these seemly independent variable separation solutions actually depend on each other. Based on the exact variable separation solution, completely and noncompletely elastic interactions between multi-valued foldons and anti-foldons are studied analytically and graphically.     

基于双极性铼配合物的低浓度淬灭电致发光器件

合成了一种含双极性9,9-双(9-乙基咔唑-3-基)-4,5-二氮芴(ECAF)配体的新型三羰基铼配合物Re(CO)3(ECAF)Cl,通过核磁共振氢谱及高分辨质谱对其结构进行了确定。以含有4,5-二氮-9,9-螺二芴(SB)配体的铼配合物Re(CO)3(SB)Cl作为参比物,对比研究了其热稳定性及光电性能。结果表明,与参比物的分解温度(366℃)相比,配合物Re(CO)3(ECAF)Cl有极好的热稳定性(热分解温度419℃)。由于富电子咔唑基团导致的能隙增大,相比参比物的发光波长(572 nm),Re(CO)3(ECAF)Cl的发光波长蓝移至565 nm。Re(CO)3(ECAF)Cl的发光量子效率(39%)稍高于参比物(37%)。以旋涂法制成电致发光器件后,基于Re(CO)3(ECAF)Cl器件的最佳掺杂浓度(质量分数)高达30%,是基于参比物器件的2.4倍,而且开启电压低至2.9 V,明显比参比物器件的4.0 V低,说明ECAF配体能有效抑制发光浓度淬灭,且明显改善了铼配合物的载流子传输性能。基于Re(CO)3(ECAF)Cl器件的最大电流效率及最大外量子效率分别为8.2 cd·A^-1和3.0%,低于参比物器件的9.7 cd·A^-1和3.9%。     

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.     

Dynamics of nonlocal and localized spatiotemporal solitons for a partially nonlocal nonlinear Schrödinger equation

Modern methods of nonlinear dynamics including time histories, phase portraits, power spectra, and Poincaré sections are used to characterize the stability and bifurcation regions of a cantilevered pipe conveying fluid with symmetric constraints at the point of contact. In this study, efforts are made to demonstrate the importance of characterizing the system at the arbitrarily positioned symmetric constraints rather than at the tip of the cantilevered pipe. Using the full nonlinear equations of motion and the Galerkin discretization, a nonlinear analysis is performed. After validating the model with previous results using the bifurcation diagrams and achieving full agreement, the bifurcation diagram at the point of contact is further investigated to select key flow velocities of interest. In addition to demonstrating the progression of the selected regions using primarily phase portraits, a detailed comparison is made between the tip and the point of contact at the key flow velocities. In doing so, period doubling, pitchfork bifurcations, grazing bifurcations, sticking, and chaos that occur at the point of contact are found to not always occur at the tip for the same flow speed. Thus, it is shown that in the case of cantilevered pipes with constraints, more accurate characterization of the system is obtained in a specified range of flow velocities by characterizing the system at the point of contact rather than at the tip.     

Spatiotemporal Rogue Waves for the Variable-Coefficient (3+1)-Dimensional Nonlinear Schrödinger Equation

With the help of the similarity transformation connected the variable-coefficient (3+1)-dimensional nonlinear Schrödinger equation with the standard nonlinear Schrödinger equation, we firstly obtain first-order and second-order rogue wave solutions. Then, we investigate the controllable behaviors of these rogue waves in the hyperbolic dispersion decreasing profile. Our results indicate that the integral relation between the accumulated time T and the real time t is the basis to realize the control and manipulation of propagation behaviors of rogue waves, such as sustainment and restraint. We can modulate the value T₀ to achieve the sustained and restrained spatiotemporal rogue waves. Moreover, the controllability for position of sustainment and restraint for spatiotemporal rogue waves can also be realized by setting different values of X₀.     

低聚壳聚糖几何结构和物理化学属性的理论研究

运用密度泛函B3LYP/6-31G+(d)方法对gg构象的低聚壳聚糖进行了结构优化、频率计算和电子结构,并用更高精度的WB97XD/6-311+G(d,p)方法计算了平均结合能及零点能校正,分析了热力学性质.结果表明,由于低聚壳聚糖中的氢键作用,使其形成螺旋结构;聚合度的增加,使平均结合能随之下降,结构的稳定性增强;在降解过程中,均为放热反应,验证了利用降温来提高降解产率的实验的可行性;此外,聚合度的增加,使能隙减小且快速收敛于聚合度为7的6.99 eV,稳定的反应活性与实验相符;HOMO、LUMO的电子密度分布表明,化学活性集中在C2位的氨基、C6位的羟基以及链的两端位置.该结果对低聚壳聚糖模型的建立和低聚壳聚糖降解过程、活性位置以及物理化学属性的尺寸依赖等现象的研究有着指导意义.     

Cylindrical KP-Burgers Equation for Two-Temperature Ions in Dusty Plasma with Dissipative Effects and Transverse Perturbations

In this paper, the cylindrical KP-Burgers equation with variable coefficient for two-temperature ions in unmagnified dusty plasma with dissipative effects and transverse perturbations in cylindrical geometry is derived by using the standard reductive perturbation technique. With the help of variable-coefficient generalized projected Ricatti equation expansion method, the cylindrical KP-Burgers equation is solved and shock wave solution is obtained. The effects of some important parameters to the shock wave solution are illustrated from the wave evolution figures. The effects caused by dissipation and transverse perturbations are also discussed.     

考虑量子效应的Zakharov方程组的孤波解

借助Maple程序，利用扩展的双曲函数法和双函数法求解了考虑量子效应的Zakharov方程组，得到了多种孤波解，其中包括亮孤波解、W型孤波解、M型孤波解和奇性孤波解. 关键词： 量子效应 Zakharov方程组 扩展的双曲函数法 孤波解