Bilinear approach for a symmetry constraint of the modified KdV equation

The paper investigates the mKdV equation with the potential under symmetry constraint through bilinear approach, i.e., Hirota method and Wronskian technique. We show that the potential can be a summation of squares of wave functions and these wave functions can precisely be described as Wronskians.     

用时间分辨光谱研究红细胞悬液的荧光发射

实验获得了激光照射红细胞悬液的荧光光谱,并分别监测不同荧光峰值波长处强度随时间的衰变过程,测试了其相应的荧光寿命。结果表明,在波长为407nm的激光照射下,红细胞悬液向外发射中心波长分别位于596,628,692nm的荧光光谱,各荧光峰对应衰变过程的平均荧光寿命分别为1.97,13.31,14.58ns。利用荧光强度和吸收率的加和性表示了混合物的总吸收率和总荧光发射强度,通过理论计算获得了红细胞悬液中锌卟啉、原卟啉和其他游离物参与荧光发射的相对含量和相对强度在不同荧光峰位的变化关系,进一步解释了不同峰位处荧光发射强度和平均荧光寿命的变化原因。     

The synthesis of 4,4′-arylmethylene-bis(3-(trifluoromethyl)-1-phenyl-1H-pyrazol-5-ol) in aqueous media without catalyst

The synthesis of 4,4′-arylmethylene-bis(3-(trifluoromethyl)-1-phenyl-1H-pyrazol-5-ol) was performed effectively in aqueous media without catalyst by the reaction of aryl aldehydes and 1-phenyl-3-trifluoromethylpyrazol-5-one. All of the compounds obtained were characterized by elemental analysis, FTIR and ¹H NMR. The structure of compound 3g was further confirmed by the X-ray single crystal diffraction. The method has the advantages of mild condition, without any catalyst, high yields and environmentally benign procedure.     

A novel three-component reaction for the synthesis of new 4-azafluorenone derivatives

Reaction of arylidenemalononitriles, 1,3-indanedione, and mercaptoacetic acid or 4-methylbenzenethiol is successfully carried out using microwave heating. It is an efficient and promising synthetic strategy to build the indenopyridine skeleton.     

Microwave-assisted solvent-free synthesis of substituted 2-quinolones

A rapid and efficient method for the preparation of a variety of substituted 2-quinolones has been developed through the reactions of o-aminoarylketones with ester compounds containing a reactive α-methylene moiety in the presence of a catalytic amount of cerium chloride heptahydrate under solvent-free conditions in high yields. The rate and yield of the reaction are considerably improved by employing microwave irradiation.     

Synthesis and Crystal Structure of N-cyclopropyl-9 -（3,4-dicholophenyl）- 1,2,3,4,5,6,7,8,9,10-decahydroacridine -1,8-dione under Microwave Irradiation

1 INTRODUCTION aryl or methyl group to the nitrogen atom of these compounds leads to enhanced activities of fluo- A lot of natural and synthetic compounds con- rescence[7, . Since the pyridine scaffold is included 8] taining acridine skeletons display interesting biolo- in decahydroacridine-1,8-dione, a question is whether gical and physical activities[1]. Acridinedione, for the same modification on the nitrogen atom of de- example, has been identified as antimalarial and cahydroacridine-1…     

微波辐射下三组分“一锅法”合成5-芳基-1,5,6,7,8,9-六氢化-2H-吡唑[5,4-b]并喹啉-6-酮

在微波辐射下以芳醛、1,3-环己二酮或达米酮和氨基吡唑为原料, 用乙二醇作能量转移剂, 三组分“一锅法”快速合成了一系列吡唑[5,4-b]并喹啉类化合物. 该方法速度快(30～90 s), 产率高(88%～98%), 环境友好. 产物结构通过红外光谱、核磁共振谱和元素分析证实, 化合物4e的单晶经X射线衍射分析, 进一步确证了产物结构.     

单位球中完备超曲面的一个刚性定理

本文研究了单位球中的数量曲率满足r=aH+b的完备超曲面的问题.利用极值原理的方法,获得了超曲面的一个刚性结果,推广了这一类具有常中曲率或者常数量曲率超曲面的结果.     

KF-蒙脱土催化下2-氨基-3-氰基-4-芳基-7,7-二甲基-5-氧代-4H-5,6,7,8-四氢苯并[b]吡喃的合成

以KF-蒙脱土为催化剂, 取代肉桂腈与5,5-二甲基-1,3-环己二酮在95%乙醇中回流反应得2-氨基-3-氰基-4-芳基-7,7-二甲基-5-氧代-4H-5,6,7,8-四氢苯并[b]吡喃, 此方法快速、方便、高效, 同时考察了溶剂、催化剂对反应的影响.     

Synthesis and Crystal Structure of 2-Amino- 5,6-dihydro-4-（3,4-dimethoxyphenyl）-4H- benzo[h]chromene-3-carbonitrile

1 INTRODUCTION 2-Aminochromene is an important class of com- pounds found as the main compounds of many natu- rally occurring products employed as cosmetics and pigments and utilized as potential biodegradeable agro- chemicals[1～3]. In recent years, montmorillonite in natural and ex- changed forms has received considerable attention in different organic syntheses because of its environ- mental compatibility, low cost, high selectivity, reusa- bility and operational simplicity[4], such as …