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Lie group classification of the N-th-order nonlinear evolution equations

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Science China Mathematics 2011年第12期54卷 2553-2572页

作者： SHEN ShouFeng QU ChangZheng HUANG Qing jin YongYang Department of Applied Mathematics Zhejiang University of Technology Hangzhou 310023 China Department of Mathematics Ningbo University Ningbo 315211 China Department of Mathematics Northwest University Xi＇an 710069 China

In this paper, Lie group classification to the N-th-order nonlinear evolution equation Ut ： UNx ＋ F（x, t, u, ux, . . . , U（N-1）x）is performed. It is shown that there are three, nine, forty-four and sixty-one inequivalent equations admitting one-, two-, three- and four-dimensionM solvable Lie algebras, respectively. We also prove that there are no semisimple Lie group 50（3） as the symmetry group of the equation, and only two realizations oral（2, R） are admitted by the equation. The resulting invariant equations contain both the well-known equations and a variety of new ones.

关键词： group classification Lie algebra nonlinear evolution equation

Synthesis of CdTe/SiO_2 Composites and Their Fluorescence Properties

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Chemical Research in Chinese Universities 2011年第4期27卷 540-542页

作者： WANG Mei-ping LIN jin-hui SHAN Chuan-sheng College of Materials and Chemistry ＆ Chemical Engineering Chengdu University of Technology Chengdu 610059 P. R. China

Thioglycolic acid（TGA）-stabilized CdTe nanocrystals（NCs） were prepared with sodium tellurite as tellurium source,which avoids the cumbersome processes associated with H2Te or NaHTe *** CdTe/SiO2 composites were synthesized by a sol-gel method without the exchange of surface *** phase structure of CdTe NCs was investigated by X-ray *** comparison,some characterizations were done for both the CdTe NCs and the *** NCs and CdTe/SiO2 composites were characterized with TEM,digital camera and fluorescence *** stability of CdTe NCs and the composites were investigated in phosphate-buffered saline（PBS） buffer and the fluorescent properties of the composites were discussed in detail.

关键词： CdTe nanocrystal Sodium tellurite CdTe/SiO2

New Families of Exact Excitations to （2＋1）-Dimensional Toda Lattice System via an Extended Projective Approach

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Communications in Theoretical Physics 2006年第5期45卷 864-868页

作者： FANG Jian-Ping FEI jin-Xi ZHENG Chun-Long College of Physics and Mathematics Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072China

In this paper, the extended projective approach, which was recently presented and successfully used in some continuous nonlinear physical systems, is generalized to nonlinear partial differential-difference systems （DDEs）, As a concrete example, new families of exact solutions to the （2＋1）-dimensional Toda lattice system are obtained by the extended projective approach.

关键词： extended projective approach DDEs Toda lattice exact solution

A New Solvent-free Synthesis of a, a'-Dibenzylidenecycloalkanones from Acetals with Cycloalkanones under Microwave Irradiation

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Chinese Chemical Letters 2003年第4期14卷 333-334页

作者： Dan Feng HUANG jin Xian WANG Yu Lai HU College of Chemistry&Chemical Engineering Northwest Normal UniversityLanzhou 730070

A new rapid synthetic method is described for synthesis of a, a-dibenzylidene- cycloalkanones by the reaction of acetals and cycloalkanones without solvent using BF3稥t2O as catalyst under microwave irradiation.

关键词： Cycloalkanone acetal Lewis acid microwave irradiation.

Method of lateral image reconstruction in structured illumination microscopy with super resolution

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Journal of Innovative Optical Health Sciences 2016年第3期9卷 4-18页

作者： Qiang Yang Liangcai Cao Hua Zhang Hao Zhang Guofan jin State Key Laboratory of Precision Measurement Technology and Instruments Tsinghua University Beijing 100084P.R.China

The image reconstruction process in super-resolution structured illumination microscopy(SIM)is *** structured pattern is generated by the interference of two Gaussian beams to encode undetectable spectra into detectable region of *** parameters estimation of the structured pattern,the encoded spectra are computationally decoded and recombined in Fourier domain to equivalently increase the cut-off frequency of microscope,resulting in the extension of detectable spectra and a reconstructed image with about two-fold enhanced *** di®erent methods to estimate the initial phase of structured pattern are compared,verifying the auto-correlation algorithm a®ords the fast,most precise and robust *** artifacts sources and detailed reconstruction°owchart for both linear and nonlinear SIM are also presented.

关键词： Microscopy structured illumination super-resolution image reconstruction

Kinetic Studies on Forming Iso-nuclear β-type Chelates of Rare Earths with p-Sulphoaminobromophosphonazo

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Chinese Chemical Letters 2000年第12期11卷 1101-1102页

作者： Fei ZHA Li YUAN jin Zhang GAO Hui CHEN Chemistry&Chemical Engineering College Northwest Normal UniversityLanzhou 730070

The kinetic behavior of forming the iso-nuclear β-type chelates of rare earth ions (RE~3+) with p-sulphoaminobromophosphonazo (BPA-pSN) in ClCH2COOH-CH3COONa buffer solutions were studied by a spectrophotometric method.

关键词： β-Type chelates rare earths p-sulphoaminobromophosphonazo.\

A larval specific OBP able to bind the major female sex pheromone component in Spodoptera exigua(Hübner)

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Journal of Integrative Agriculture 2015年第7期14卷 1356-1366页

作者： jin Rong LIU Nai-yong LIU Yan DONG Shuang-lin Key Laboratory of Integrated Management of Crop Diseases and Pests Ministry of Education/College of Plant Protection Nanjing Agricultural University

Odorant binding proteins （OBPs） in insects are postulated to solubilize and transport the hydrophobic odorants across the hydrophilic antennal lymph to the olfactory receptors （ORs） located on the dendrite membrane of the sensory neurons. OBPs in adult insects have been intensively reported, but those in larvae are rarely addressed. In our study, a full-length OBP cDNA, namely SexiOBP13, was cloned by RT-PCR and RACE strategy from the heads of Spodoptera exigua larvae. The quantitative real-time PCR （qPCR） measurement indicated that SexiOBP13 was highly expressed in larval head, but very low in other parts of larva and was not detected in any tissues of adult. The binding affinities of SexiOBP13 to plant volatiles and female sex pheromone components were measured by competitive binding assays. Interestingly, SexiOBP13 displayed a high binding affinity （Ki=3.82 IJmol L-1） to Z9,E12-14：Ac, the major sex pheromone component of S. exigua, while low affinities to the tested host plant volatiles （Ki〉27 μmol L-l）. The behavioral tests further confirmed that Z9,E12-14：Ac was indeed active to elicit the behavioral activity of the third instar larvae of S. exigua. Taken together, our results suggest that SexiOBP13 may play a role in reception of female sex pheromone in S. exigua larvae. The ecological significance of the larvae preference to the adult female sex pheromone was discussed.

关键词： odorant binding protein female sex pheromone larval specificity binding affinity behavioral response

Whether the digital economy will successfully encourage the integration of urban and rural development: A case study in China

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Chinese Journal of Population,Resources and Environment 2023年第1期21卷 13-25页

作者： Yafei Wang Qingyun Peng Chao jin jin Ren Yuanyuan Fu Xiaofeng Yue School of Economics and Management Chongqing Normal UniversityChongqing 401331China

The digital economy has become an important driver for stimulating economic *** digital economy has now widely penetrated the fields of economy and society,providing new opportunities for the develop‐ment of urban-rural *** on panel data for 30 provinces in China from 2011 to 2020,this study constructed an index system for the integration of the digital economy and the development of urban-rural areas and conducted a systematic measurement ***,we used a two-step system of GMM estimation to analyze the impact of the digital economy on the development of urban-rural integra‐*** findings demonstrate the significant imbalance paradox of China’s digital economy development,which is shown in a gradient where the eastern region is higher than the center and the central region is higher than the ***-rural integration levels in China fluctuate and display geographical variance,typically displaying high levels in the east and low levels in the ***-rural integration is significantly encouraged by the digital economy,yet it varies in variability between different areas and ***‐tionally,rural human capital moderates the favorable effects of the digital economy on urban-rural integra‐*** a result,in order to achieve the integrated development of urban and rural areas,it is imperative to fully exploit the active role of the digital economy,better support the development of rural revitalization,bridge the“digital divide”between urban and rural development,and build a strong foundation for the for‐mation of a digital urban-rural integrated development pattern with urban and rural areas and common con‐struction and sharing.

关键词： Digital economy Urban-rural integration Kernel density estimation Two-step dynamic system GMM

Small World Properties Generated by a New Algorithm Under Same Degree of All Nodes

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Communications in Theoretical Physics 2006年第5期45卷 950-954页

作者： LI Yong FANG jin-Qing LIU Qiang LIANG Yong China Institute of Atomic Energy P.O. Box 275-81 Beijing 102413 China

Based on the model of the same degree of all nodes we proposed before, a new algorithm, the so-called “spread all over vertices” （SAV） algorithm, is proposed for generating small-world properties from a regular ring lattices. During randomly rewiring connections the SAV is used to keep the unchanged number of links. Comparing the SAV algorithm with the Watts-Strogatz model and the “spread all over boundaries” algorithm, three methods can have the same topological properties of the small world networks. These results offer diverse formation of small world networks. It is helpful to the research of some applications for dynamics of mutual oscillator inside nodes and interacting automata associated with networks.

关键词： small world network the same degree of all nodes in the network “spread all over vertices”algorithm average shortest path length average clustering coefficient