Arbitrariness of the general solution of the partial differential equations and its applications

Using the framework of formal theory of partial differential equations, we consider a method of computation of the bi-Hilbert polynomial (i.e. Hilbert polynomial in two variables). Furthermore, present an approach to compute the number of arbitrary functions of positive differential order in the general solution. Then, under the “AC=BD” model for mathematics mechanization developed by Hong-qing ZHANG, we present a method to reduce an overdetermined system to a well-determined one. As applications, the Maxwell equations and weakly overdetermined equations are considered.     

Can the decay rate of ~(32)P be changed by mechanic motion?

The influence of mechanic motion on the decay rate of 32P was studied by means of liquid scintillation counting (LSC). The results indicate that, on the Northern Hemisphere, the half life of 32P in anticlockwise circular centrifuge rotation (radius 10 cm, 4000 r/min) equals the one in natural conditions within 0.6 percent uncertainty.     

对单胶子交换势的非微扰修正研究

对单胶子交换势的非微扰修正进行了系统研究,结果表明,要获得规范不变的修正形式,QCD真空胶子场必须取为协变规范.在协变规范下,给出了单胶子交换势的非微扰修正的新形式.     

BRIF and CARIF progress

China Institute of Atomic Energy (CIAE) is currently constructing Beijing rare ion beam facility (BRIF) and is proposing China advanced rare ion beam facility (CARIF). This paper is aiming at introducing the progress of BRIF project and the conceptual design CARIF. The ISOL type facility BRIF under construction is composed of a 100 MeV 300 μA proton cyclotron, an ISOL with mass resolution of 20000, and a super-conducting LINAC of 2 MeV/q, and will be commissioned in 2013. CARIF facility proposed is planned to use both ISOL and PF techniques. It is based on a China advanced research reactor CARR that was critical, with ISOL separation of fission fragment, post acceleration to 150 MeV/u, and fragmentation of neutron-rich fission fragment beam like ¹³²Sn. Such unique combination will allow CARIF to deliver beam intensity better than the best world facilities by more than one order of magnitude.     

（＋）-甲基丙烯酸{2,5-双[4′-（（S）-2-甲基丁氧基）苯基]苯基}酯的合成及其螺旋选择性自由基聚合

设计合成了手性单体（＋）-甲基丙烯酸{2,5-双[4′-（（S）-2-甲基丁氧基）苯基]苯基}酯,并进行了自由基溶液聚合.相比于单体,聚合物的比旋光度有显著的同向增长,且在其圆二色光谱上对应于三联苯侧基以及酯基的吸收区域呈现明显的Cotton效应,说明其主链可能采取某一旋向占优的螺旋构象.研究了聚合条件对聚合物旋光性质的影响.结果表明,采用极性大的芳香族溶剂或增加单体浓度有利于获得旋光度大的聚合物;随聚合温度增加,聚合物旋光度先增加后减小,在80℃时聚合达到最大值.该聚合物比甲基丙烯酸三芳基甲基酯类光学活性螺旋链聚合物具有更好的化学结构稳定性和立体结构稳定性.     

处理方法对多壁碳纳米管结构及负载Ru催化剂氨分解反应活性的影响

分别用H2O2、强碱（NaOH、KOH）和HNO3处理CNTs。以处理后的CNTs为载体、通过浸渍RuCl3水溶液结合高温H2还原制备Ru/CNTs催化剂,并将其应用在氨分解催化反应中。利用XRD、TPR、TPD-MS表征手段研究了Ru在CNTs表面的分散、还原性能及CNTs表面化学基团,探究催化剂结构-性能间构效关系。结果表明,强碱及双氧水处理CNTs,为其表面引入了数量适宜的羧基、酸酐、酚等官能团,而传统硝酸处理则引入了大量的羧基、酸酐、酯、内酯、酚、醌和羰基等官能团,对CNTs本征结构性质影响很大。经强碱及双氧水处理CNTs上负载Ru后所得催化剂的效果明显优于传统硝酸处理CNTs上负载Ru催化剂。本研究为CNTs的新型处理方法、表面化学官能团分析、提高Ru/CNTs催化分解氨活性提供了新的思路。     

Can the decay rate of 32P be changed by mechanic motion?

Science China Chemistry - The influence of mechanic motion on the decay rate of 32P was studied by means of liquid scintillation counting (LSC). The results indicate that, on the Northern...     

BRIF and CARIF progress

China Institute of Atomic Energy (CIAE) is currently constructing Beijing rare ion beam facility (BRIF) and is proposing China advanced rare ion beam facility (CARIF). This paper is aiming at introducing the progress of BRIF project and the con ceptual design CARIF. The ISOL type facility BRIF under construction is composed of a 100 MeV 300 ?A proton cyclotron, an ISOL with mass resolution of 20000, and a super-conducting LINAC of 2 MeV/q, and will be commissioned in 2013. CARIF facility proposed is planned...     

Applications of Backlund Transformations to Explicit and Exact Solutions in Nonlinear Wave. Equations

Bäcklund transformations and heat equation are used to find several families of explicit and exact solutions for the well-known Whitham-Broer-Kaup equations in shallow water and Kupershmidt equations. In result, multi-soliton solutions, rational fraction solutions and soliton-like solutions are obtained.     

Travelling wave solutions of nonlinear partial equations by using the first integral method

In this paper, the first integral method is employed for constructing the new exact travelling wave solutions of nonlinear partial differential equations. The power of this manageable method is confirmed by applying it for two selected nonlinear partial equations. This approach can also be applied to other systems of nonlinear differential equations.