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The kink-soliton and antikink-soliton in quasi-one-dimensional nonlinear monoatomic lattice

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Science china(Physics,Mechanics & Astronomy) 2005年第2期48卷 150-157页

作者： XU Quan1 & TIAN Qiang2 1. Scientific and Technological Office, Daqing teacher college, Daqing 163712, china 2. department of Physics , Beijing Normal University, Beijing 100875, china Scientific and Technological Office Daqing Teacher College Daqing 163712 China department of Physics Beijing Normal University Beijing 100875 China

The quasi-one-dimensional nonlinear monoatomic lattice is analyzed. The kink-soliton and antikink-soliton are presented. When the interaction of the lattice is strong in the x-direction and weak in the y-direction, the two-dimensional (2D) lattice changes to a quasi-one-dimensional lattice. Taking nearest-neighbor interaction into account, the vibration equation can be transformed into the KPI, KPII and MKP equation. Considering the cubic nonlinear potential of the vibration in the lattice, the kink-soliton solution is presented. Considering the quartic nonlinear potential and the cubic interaction potential, the kink-soliton and antikink-soliton solutions are presented.

关键词： two-dimensional nonlinear lattice, quasi-one-dimensional nonlinear lattice, kink-soliton, antikink-soliton.

The Fuzzy Incidence Degree in Systems Analysis

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Systems Science and Systems Engineering 1994年第2期4卷 172-174页

作者： CHEN Shilian (mathematics department. Qujing teacher’s college, Qujing, Yunnan, china)CAO Guiying(Branch Factory of Kunming Cigarette factory, Kunming, Yunnan, china)

In this paper, the computational formula of fuzzy incidence degree in systems analysis is given. Besides, we discuss ifs simple properties. and give a computation example at last.

关键词： factor incidence degree. mapping.

Synthesis of 2-aryl-3H-indol-3-ones via trapping reaction in singlet oxygenation of 2-arylindoles

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Chinese Journal of Chemistry 1996年第3期14卷 259-264页

作者： LING, Ke-Qingdepartment of Chemistry, Huaibei Coal Industry teacher’s college, Huaibei, Anhui 235000, china department of Chemistry Huaibei Coal Industry Teacher's College Huaibei Anhui 235000 China

2-Aryl-3H-indol-3-ones (3a-o) have been synthesized via methanol trapping reaction in singlet oxygenation of 2-arylindoles (1a-o), followed by thermal decomposition of the resultant 2-aryl-2-methoxy-3-oxo-2,3-dihydroi... 详细信息

关键词： 2-aryl-3H-indol-3-ones synthesis 2-arylindoles singlet oxygenation trapping reaction 2-aryl-2-methoxy-3-oxo-2,3-dihydroindole thermal decomposition

Nucleophilic reactions of 1-methyl-2-methoxy-2-phenyl-3-oxo-2,3-dihydroindole

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Chinese Journal of Chemistry 1996年第3期14卷 265-270页

作者： LING, Ke-Qingdepartment of Chemistry, Huaibei Coal Industry teacher’s college, Huaibei, Anhui 235000, china department of Chemistry Huaibei Coal Indust. Teach.'s Coll. Huaibei Anhui 235000 China

The title compound (1) was prepared via methylene blue (MB)-sensitized photooxygenation of 1-methyl-2-phenylindole (2d) in methanol. Acid-catalyzed nucleophilic substitution of 1 with nucleophiles gave 1,2,2-trisubstituted 3-oxo-2,3-dihydroindoles (3-6). lithium aluminum hydride, followed by acidic workup yielded 4d and 2d, whereas the same reduction reaction of 1, followed by neutral workup gave 1-methyl-2-phenyl-3-hydroxy-2,3-dihydroindole (15), together with 3. The reaction pathways of nucleophilic substitution and reduction of 1 were discussed.

关键词： 1-methyl-2-methoxy-2-phenyl-3-oxo-2,3-dihydroindole nucleophilic substitution reduction

CALCULATION OF CONFORMATIONAL ENTROPY AND FREE ENERGY OF POLYSILANE CHAIN

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Chinese Journal of Polymer Science 2001年第5期19卷 477-481页

作者： Meng-bo Luo Ying-cai Chen Jian-hua Huang Jian-min Xu department of Physics, Zhejiang University, Hangzhou 310028 china department of Physics, Taizhou teacher’s college, Taizhou 317000 china department of Chemistry Zhejiang University Hangzhou 310028 china Zhejiang Univ Dept Phys Hangzhou 310028 Peoples R China Taizhou teachers Coll Dept Phys Taizhou 317000 Peoples R China Zhejiang Univ Dept Chem Hangzhou 310028 Peoples R China

The conformational entropy S and free energy F were calculated by exact enumeration of polysilane chain up to 23 segments with excluded volume (EV) and long-range van der Waals (VW) interaction. A nonlinear relation between SEV+VW and chain length n was found though S-EV was found to vary linearly with n. We found that the second-order transition temperature of polysilane chain with VW interaction increases with the increase of chain length, while that of polysilane chain without VW interaction is chain length independent. Moreover, the free energies FEV+VW and F-EV are both linearly related with n, and FEV+VW < F-EV for all temperatures.

关键词： polysilane exact enumeration conformational entropy conformational free energy

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基于VFP的MIS的自动化程序设计

计算机工程 2000年第8期26卷 123-125页

作者：韦明昌潍师范专科学校数学系潍坊261043

以面向对象技术作为软件开发方法，定义了一个适用于管理信息系统业务流程需要的通用可视化窗体界面模型，在一定程序上实现了软件的通用性和自动化，并给出了基于ＶＦＰ的自动化程序实现过程。

关键词：管理信息系统自动化程序设计面向对象 VFP

Existence and Uniquenes Theorems of Solutions for a Class of 2nth-order Boundary Value Problems

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Communications in Mathematical Research 1999年第1期 121-126页

作者： Pei Minghe (department of mathematics, Jilin teacher’s college, Jilin City, 132011) Yu Hailan (department of Basic Science Courses, Northeast china Institute of Electronic Power Engineer, Jilin City, 132012)

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｕｒｔｈ－ｏｒｄｅｒｔｗｏ－ｐｏｉｎｔｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓａｒｅｅｓｓｅｎｔｉａｌｉｎｄｅｓｃｒｉｂｉｎｇａｖａｓｔｃｌａｓｓｏｆｅｌａｓｔｉｃｄｅｆｌｅｃｔｉ... 详细信息

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｕｒｔｈ－ｏｒｄｅｒｔｗｏ－ｐｏｉｎｔｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓａｒｅｅｓｓｅｎｔｉａｌｉｎｄｅｓｃｒｉｂｉｎｇａｖａｓｔｃｌａｓｓｏｆｅｌａｓｔｉｃｄｅｆｌｅｃｔｉｏｎｓ．Ｕｓｍａｎｉ［１］ｓｔｕｄ...

关键词： 2 n th order Differential Equation Two point Boundary Value Problem Existence Uniqueness

Toeplitz Operators on Dirichlet Spaces

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Acta Mathematica Sinica,English Series 2001年第4期17卷 643-648页

作者： Yu Feng LU Shun Hua SUN department of Applied mathematics, Dalian University of Technology, Dalian 116024, P. R. china department of mathematics, Sichuan University, Chengdu 610064, P. R. china department of mathematics, Sichuan University, Chengdu 610064, P. R. china department of Applied mathematics Dalian University of Technology Dalian 116024 P. R. China department of mathematics Sichuan University Chengdu 610064 P. R. China

In this paper we study Toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of Toeplitz operators on Dirichlet spaces. Meanwhile, we give density theorems for Toeplitz operators on Diric... 详细信息

关键词： Dirichlet space Toeplitz operator Compact operator Strong operator topology

The effect of lead on the activity of carbon-fixation enzymes in Potamogeton pectinatus

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Acta Geochimica 2006年第S1期 215-216页

作者： Qing LIN*, Xinying ZHANG, Guijin LU department of Resource and Environmental Science, guangxi teacher’s Education University, guangxi, Nanning 530001, china