The negative extended KdV equation with self-consistent sources: soliton, positon and negaton

The negative extended KdV equation with self-consistent sources (eKdV⁻ESCSs) is firstly presented and the associated linear auxiliary equations are derived. The generalized binary Darboux transformation (DT) is applied to construct some new solutions of the eKdV⁻ESCSs such as singular N-soliton solution, N-soliton solution with finite amplitude, N-positon solution and N-negaton solution. The properties of these solutions are analyzed. Moreover, the interactions of two solitons, positon and negaton, positon and soliton, and two positons are discussed.     

第二类四阶变分不等式解的存在唯一性

本文考虑弹性力学平板理论中的单侧稳定问题,讨论了重调和方程边值问题及第二类四阶变分不等式,并证明它们的等价性,从而可以把高阶偏微分方程转化为相应的变分不等式加以解决,同时也为求解重调和方程提供了更多的方法和理论依据。并且最后给出了该类变分不等式解的存在唯一性的证明。     

低压铸造充型动力学的高速摄影观察

利用高速摄影和影片运动分析技术,在透明模型上对低压铸造充型过程进行了实时观察和运动分析。结果表明:低压铸造充型的动力学特征可用二阶非线性微分方程描述。     

同心圆环型场发射阵列阴极的粒子模拟

 模拟了同心圆环型场发射阵列阴极的特性。采用时域有限差分法计算了电场，利用Fowler-Nordheim方程计算锥尖处的发射电流，利用Lorentz方程计算了电子的运动轨迹。得到了微阴极电子的运动轨迹、相空间图以及电子束的发散度、亮度等，结果表明该结构能形成良好的聚焦电子束。     

Critical thermodynamic analysis of differential scanning calorimetry for studying chemical kinetics

A critical thermodynamic analysis of differential thermal calorimetry is reported herein to gain further insight into the phenomena leading to the reported differences between kinetic parameters extracted from isothermal DSC methods and those from dynamic DSC methods. The sources have been identified for the variations observed in the total heat of reaction as a function of the heating rate in dynamic DSC experiments. The analysis clearly indicates that these variations are, in fact, to be anticipated. The relationships necessary for extracting kinetic data from both isothermal and dynamic experiments are derived rigorously by resorting to classical thermodynamics. This work was supported by the Cooperative State Research Service, U.S. Department of Agriculture, under Agreement No. 92-37500-7911.     

Almost periodic solutions for nonlinear duffing equations

The main purpose of this paper is to investigate the existence of almost periodic solutions for the Duffing differential equation. By combining the theory of exponential dichotomies with Liapunov functions, we obtain an intersting result on the existence of almost periodic solutions. This work is supported by NSF of China, No.19401013     

有机玻璃中条形药包爆炸破碎区发展过程的高速摄影研究

采用高速摄影方法，对有机玻璃中条形装药爆炸破碎区的发展过程进行了研究。结果表明，爆炸后形成的破碎区大致可分为柱部和端部两部分，其发展特征是，由条形装药柱中部向两端过渡的破坏区扩展速度逐渐减慢。     

Multinomial convolution polynomials

In [9] Knuth shows how to derive the convolution formulas of Hagen, Rothe and Abel from Vandermonde's convolution and the binomial theorem for integer exponents. In the present paper, we shall first present a short and elementary proof of the multi-extension of the above convolution formulas, due to Raney and Mohanty. In the second part we shall present a multi-version of Knuth's approach to convolution polynomials and derive another short proof of the above formulas.     

Difference in moments of inertia and paring interaction strength in superdeformed nuclei

The difference in the bandhead moments of inertia between the superdeformed (SD) band¹⁹⁴Hg(1) and the two-quasiparticle SD bands¹⁹⁴Hg(2, 3) was investigated using the particle-number-conserving treatment for the cranked shell model Hamiltonian. and the pairing interaction strength in SD nuclei is estimated to be much weaker than that in normally deformed nuclei.