Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

Nonlinear Dynamics - A new method named bilinear neural network is introduced in this paper, and the corresponding tensor formula is proposed to obtain the exact analytical solutions of nonlinear...     

改性生物炭对废水中锑的去除研究进展

废水锑排放限值日趋严格,迫切需要高效低成本的废水锑去除技术.本文介绍了含锑废水较为成熟的处理技术和工艺,然后结合生物炭的制备和特点综述了改性生物炭技术应用于废水中锑的去除治理所具有的明显优势和现阶段所取得的研究成果,为改性生物炭技术用于废水中锑的去除应用和推广提供一定的参考.     

激光剥蚀-电感耦合等离子体-原子发射光谱/质谱法分析中国古代钾玻璃组分

利用激光剥蚀电感耦合等离子体原子发射光谱(LA-ICP-AES)和激光剥蚀电感耦合等离子体质谱(LA-ICP-MS)分析了一批中国古代钾玻璃。样品表面磨去100μm以上,并通过预剥蚀去除风化影响,设计剥蚀路径以消除元素分布不均匀影响。通过钙铝及其它微量元素将钾玻璃分成3个亚类,它们可能有不同的配方及制造中心;研究发现,钾玻璃着色剂类型多样化,有单质Cu,Mn2+,Cu2+,Co2+等;系统研究了钾玻璃的稀土元素特征,成功区分了九只岭地区及风门岭地区的钾玻璃;对两种方法在古代玻璃分析中的特点进行了探讨。     

Eu~(3+)离子掺杂纳米TiO_2的制备及其光催化降解甲基兰溶液的研究

采用溶胶-凝胶法制备了系列不同原子摩尔比的Eu3+离子掺杂纳米TiO2光催化剂,通过XRD,SEM和UV-V is等测试手段对纳米TiO2晶型、颗粒度大小、形貌以及光学性能进行了表征;并以甲基兰溶液为目标物,对所制备样品的光催化活性进行了研究。结果表明,稀土Eu3+离子的掺杂能有效抑制纳米TiO2的晶型的转变进而减小晶粒尺寸、提高分散度;稀土Eu3+离子的掺杂使TiO2光催化剂紫外-可见吸收有一定的蓝移,并在可见区有一定的吸收峰;稀土Eu3+离子的掺杂有效提高了TiO2光催化剂的活性,并在本实验条件下,当掺杂原子摩尔比为1%、退火温度500℃时,对甲基兰溶液的光催化活性最强。     

Electrochemical properties of niobium and phosphate doped spherical Li-rich spinel LiMn2O4 synthesized by ion implantation method

Spherical Li-rich lithium manganese oxide(LMO) spinel material was synthesized by an ion implanted method assisted by polyalcohol doped with Niobium and Phosphate simultaneously.The material was characterized by scanning electron microscopy,X-ray diffraction and BET specific surface area analysis.The electrochemical performances were investigated with galvanostatic techniques and cyclic voltammetry.The synthesis process was investigated with TG/DSC.The results show that the lithium ion can be immersed into the pore of manganese dioxide at a low temperature with the ion implanted method.The prepared materials have a higher discharge capacity and better crystallization than those prepared by solid phase method.The doped Nb can improve the capacity of the Li-rich LMO spinel and reinforce the crystal growth along(111) and(400) planes.The crystal grains show circular and smooth morphology,which makes the specific surface area greatly decreased.Phosphate-doped LMO spinel exhibits good high-rate capacity and structure stability.The prepared Li_(1.09)Mn_(1.87)Nb_(0.031)O_(3.99)(PO_4)_(0.021)delivers a discharge capacity of 119mAhg~(-1) at 0.2C(1C=148mAg~(-1)) and 112.8 mAhg~(-1) at 10 C,the discharge capacity retention reaches 98% at 1 ℃ after 50 cycles at 25 ℃ and 94% at 55 ℃.     

Solving Huxley equation using an improved PINN method

Although many effective methods for solving partial differential equations (PDEs) have been proposed, there is no universal method that can solve all PDEs. Therefore, solving partial differential equations has always been a difficult problem in mathematics, such as deep neural network (DNN). In recent years, a method of embedding some basic physical laws into traditional neural networks has been proposed to reveal the dynamic behavior of equations directly from space-time data [i.e., physics-informed neural network (PINN)]. Based on the above, an improved deep learning method to recover the new soliton solution of Huxley equation has been proposed in this paper. As far as we know, this is the first time that we have used an improved method to study the numerical solution of the Huxley equation. In order to illustrate the advantages of the improved method, we use the same network depth, the same hidden layer and neurons contained in the hidden layer, and the same training sample points. We analyze the dynamic behavior and error of Huxley’s exact solution and the new soliton solution and give vivid graphs and detailed analysis. Numerical results show that the improved algorithm can use fewer sample points to reconstruct the exact solution of the Huxley equation with faster convergence speed and better simulation effect.

     

β-NaGd_(0.794)Yb_(0.200)Ho_(0.001)Tm_(0.005)F_4纳米颗粒的白色上转换发光

利用简单的水热合成法制备了β-NaGd0.794Yb0.200Ho0.001Tm0.005F4纳米颗粒。采用X射线粉末衍射(XRD)技术测定了样品的物相,结果显示样品为六角相。通过透射电子显微镜(TEM)和高分辨透射电子显微镜观察的结果样品为椭球和六角形状,颗粒的平均尺寸为23 nm。用980 nm半导体激光二极管为激发光源,测定了样品的室温上转换发射谱,结果表明:样品分别发射红、绿和蓝色光,其相对发射强度,从强到弱的顺序为蓝色、绿色和红色,与其对应辐射跃迁分别为Tm3+离子的1G4→3H6,Ho3+离子的5F4→5I8,5F5→5I8跃迁。样品发射的蓝、绿和红光组合而发出强的白色上转换发光,其色品坐标为(x=0.271 7,y=0.267 3)。     

An extended simplest equation method and its application to several forms of the fifth-order KdV equation

In this paper, an extended simplest equation method is proposed to seek exact travelling wave solutions of nonlinear evolution equations. As applications, many new exact travelling wave solutions for several forms of the fifth-order KdV equation are obtained by using our method. The forms include the Lax, Sawada-Kotera, Sawada-Kotera-Parker-Dye, Caudrey-Dodd-Gibbon, Kaup-Kupershmidt, Kaup-Kupershmidt-Parker-Dye, and the Ito forms.     

Introduction of phosphate groups into metal-organic frameworks to synthesize MIL-101(Cr)-PMIDA for selective adsorption of U(VI)

Journal of Radioanalytical and Nuclear Chemistry - Metal-organic frameworks (MOFs) MIL-101(Cr)-PMIDA with phosphate groups were prepared for the adsorption of U(VI). The morphology and structure of...     

波阳重晶石还原条件的研究

本文研究了江西波阳重晶石用煤高温还原的条件。找出了最佳还原温度为1050℃,最佳矿、煤配比为3.5:1、还原时间60min,以及原料粒度、炉内气氖和原料中杂质对还原化率的影响程度。对重晶石的还原机理也进行了讨论。