(3+1)维Korteweg-de Vries (KdV)方程的高阶怪波解和多波浪解

基于Hirota双线性形式，一个新的（3+1）维Korteweg-de Vries（KdV）方程的高阶怪波解和多波浪解被得到.通过作图，更直观地展示和讨论了高阶怪波解和多波浪解的动力学性质.     

Hom-Jordan李超代数的交换扩张

先利用Hom-Jordan李超代数T的表示和上同调理论, 给出构造Hom-Jordan李超代数TV的充分必要条件, 并证明Hom-Jordan李超代数的等价交换扩张可给出相同的表示; 然后通过表示和交换扩张得到2-上圈.     

Processing and characterization of the microstructure and mechanical properties of Al6061–TiB2 composite

In the present research, aluminum metal matrix composites were processed by the stir casting technique. The effects of TiB2 rein-forcement particles, severe plastic deformation through accumulative roll bonding (ARB), and aging treatment on the microstructural charac-teristics and mechanical properties were also evaluated. Uniaxial tensile tests and microhardness measurements were conducted, and the micro-structural characteristics were investigated. Notably, the important problems associated with cast samples, including nonuniformity of the rein-forcement particles and high porosity content, were solved through the ARB process. At the initial stage, particle-free zones, as well as particle clusters, were observed on the microstructure of the composite. However, after the ARB process, fracturing phenomena occurred in brittle ceramic particles, followed by breaking down of the fragments into fine particles as the number of rolling cycles increased. Subsequently, com-posites with a uniform distribution of particles were produced. Moreover, the tensile strength and microhardness of the ARB-processed com-posites increased with the increase in the reinforcement mass fraction. However, their ductility exhibited a different trend. With post-deforma-tion aging treatment (T6), the mechanical properties of composites were improved because of the formation of fine Mg2Si precipitates.     

团簇Co3FeP异构化反应的热力学与动力学研究

为了寻找团簇Co₃FeP的稳定性、结构和内部作用力等规律，利用密度泛函理论，在B3LYP/Lanl2dz的量化水平下对团簇Co₃FeP进行理论计算，得到5种优化构型，并从化学反应热力学与动力学的角度对其异构化反应中的反应物、过渡态和生成物进行了讨论分析。结果表明，所有构型均为C1对称且构型的空间结构对其熵值有影响；构型的稳定性主要由金属原子与非金属原子所决定，并且在常温常压下构型1^（3）、2^（3）和3^（3）可以稳定存在，是大部分异构化反应的最终产物。因此，在实际材料的开发中，不仅需要注意金属原子与非金属原子之间的作用力以确保构型的稳定性，还应首先考虑对稳定构型1^（3）、2^（3）和3^（3）进行相关研究。     

条件故障下3-元n-立方体的容错分析

研究了条件边故障下3-元n-立方体中较大连通分支点的数目，进而证明了3-元n-立方体是(4n－6)-条件边故障强Menger边连通的。最后通过一个反例说明该结果是最优的。     

基于密度自适应深度网络的点云场景语义分割算法

由于传感器噪声干扰，点云密度不均匀，场景复杂多样以及物体之间存在遮挡现象等问题，使得三维点云场景语义分割问题的研究工作极具挑战性。针对三维点云数据采样密度不均匀以及图卷积网络深度有限的问题，提出一种密度自适应的方法。该方法通过多层感知器学习一个权重函数，利用核密度估计学习一个密度函数，对非均匀采样的点云数据进行卷积操作。同时，受深度学习在图像领域的启发，引入残差连接、空洞卷积等结构，训练更深层的点云分割网络。该算法在多个点云分割的标准数据集上取得了优秀的性能。     

Detecting MoS2 and MoSe2 with optical contrast simulation

Optical imaging is a promising method to identify and locate 2D materials efficiently and non-invasively. By putting a 2D material on a substrate, the nanolayer will add to an optical path and create a contrast to the case when the nanolayer is absent. This optical contrast imaging can be used to identify the 2D material and its number of layers. To make the optical imaging process in the laboratories an effective tool, Fresnel Law as a model was used to simulate the optical imaging results of 2D materials(graphene, Mo S2 and MoSe_2) on top of different thickness of SiO_2 and Si wafer in the present investigation. The results provide the details of the optimal conditions(optimal light wavelength and optimal SiO_2 thickness) to identify and locate single to few 2D nanolayers, which can be used directly in laboratories. The optical contrasts of 1–5 layers of molybdenum disulfide(MoS_2) and molybdenum diselenide(MoSe_2) were simulated. To the best of our knowledge, it is the first time that the optical contrast results of MoSe_2 have been reported. In particular, this work highlights the sensitivity of the model on the accuracy of the refractive indices used. It is demonstrated that through computational modeling that optical contrast can allow effective determination of number of layers in few layer 2D materials.     

Synthesis of the 3D porous carbon-manganese oxide (3D-C@MnO) nanocomposite and its supercapacitor behavior study

A 3D porous carbon-manganese oxide ([email protected]) nanocomposite is successfully synthesized via a thermal plasma deposition method. The chemical bonds and compositions, phase structures, surface morphologies, etc. of as-obtained [email protected] nanocomposite were characterized by the various equipment, such as X-ray diffractometer, X-ray photoelectron spectroscopy, and electron microscopes. The electrochemical performances of the [email protected] nanocomposite electrode showed a specific capacitance of 780 F g^?1 at a current density of 2 A g^?1 and a capacitance retention rate of 99% after 5000 charge-discharge cycles at a high current density of 10 A g^?1. These excellent capacitive performances may be attributed to the encapsulation of MnO nanoparticles by porous carbon sheets in the [email protected] MnO nanocomposite structure. It is believed that the carbon-encapsulated MnO nanoparticles can be protected from a volume deformation during the charge adsorption/desorption cycle and can be electrically improved by the encapsulated carbon sheets, resulting in better overall capacitive performance. In addition, this study also demonstrates the practical applicability by assembling a supercapacitor using the as-obtained [email protected] nanocomposite to glow a light emitting diode.     

页岩气低伤害超临界CO2凝胶压裂液研究

针对常规水压裂液会对页岩造成伤害，容易产生水锁，不易返排，还造成水资源消耗和污染环境等问题，制备了低伤害二氧化碳凝胶压裂液。将自备的F2EU和F4EU增稠剂加入到超临界CO₂基液中，探究两种增稠剂的加入量对CO₂凝胶压裂液黏度的影响，综合考虑成本与效果，优选了2%的F4EU增稠剂，可将CO₂的黏度增至15.4 mPa·s。研究了温度、压力以及剪切速率对凝胶压裂液黏度的影响。实验结果表明，随着温度升高黏度总体降低，但中间出现一个短暂升高阶段；随着压力上升压裂液黏度增加；随着剪切速率的增加压裂液黏度下降，属于一种典型的剪切变稀的假塑性流体。F4EU超临界CO₂凝胶压裂液的平均伤害率为1.39%，远远小于常规压裂液对岩芯的伤害率。实验表明，F4EU超临界CO₂凝胶压裂液在页岩气压裂开采中具有良好的应用前景。