关于一个可积的广义Hamilton方程族

本文利用ｒ－矩阵生成了一个广义的Ｈａｍｉｌｔｏｎ方程族，并证明了它是广义可积的，然后讨论了它和（４）中Ｌｉｏｖｖｉｌｌｅ可积的新的广义Ｈａｍｉｌｔｏｎ方程族之间的关系。     

洪灾综合风险分析方法讨论(Ⅰ)——基于集对分析理论

随着社会经济的发展及人们对洪水灾害认识的深入,洪灾风险的研究从单一风险转向综合风险,将是防洪减灾理论发展的必然趋势.根据洪灾风险的特性,引入信息的整体性原理,并应用集对分析理论对洪灾风险系统进行确定不确定分析,首次提出了洪灾系统风险的同异反分析方法.该方法将干旱、洪涝及其风险信息综合体现在洪水灾害系统的联系度中,从而为进一步开展详尽的综合风险分析奠定了理论基础.     

An unconstrained optimization method using nonmonotone second order Goldstein's line search

In this paper,an unconstrained optimization method using the nonmonotone second order Goldstein's line search is proposed.By using the negative curvature information from the Hessian, the sequence generated is shown to converge to a stationary point with the second order optimality conditions.Numerical tests on a set of standard test problems confirm the efficiency of our new method.     

光栅压缩器中色散的矩阵计算

在ABCD矩阵基础上,通过引入角度色散项获得了可以方便描述色散系统的3×3阶矩阵.采用这种矩阵方程方便、准确地计算了标准光栅对压缩器中的二阶、三阶以及四阶色散,得到的结果与由常规积分法获得的结果相同.     

Association Mechanism Between Propionic Acid and Trioctylamine

IntroductionIn recent years,solvent extraction has receivedmore and more attention for recovery of carboxylicacids from dilute aqueous solutions,especiallywith the hydrophobic tertiary amines dissolved invarious organic diluents[18] . Studies on theextrac…     

Study on Pair Correlation Energies of Isoelectronic Systems F~-,HF and H_2F~+

IntroductionAsawell knownfact ,thecalculationofelectroncor relationenergyisabottleneckprobleminthecalculationsofmolecularpropertiesandchemicalreactionsinquantumchemistry .1Ithasattractedgreatattentionoftheoreticalchemists.NumerousdifferentmethodshavebeenusedtocalculatethecorrelationenergysinceL wdin2 givethedef initionofelectroncorrelationin 195 9.In 196 0s ,Sinanoˇglu3,4 definedtheexactelectronpaircorrelationen ergyanddevelopedmany electrontheoryofatomsandmoleculesinwhichthetotalcorrelation…     

Lax方程与耦合Poisson流形的动力r-矩阵

对于一个与Poisson流形耦合的动力r-矩阵,我们在相应的Lie双代数胚上构造出一类Lax方程和一族守恒量,希望利用该方法进一步研究可积Hamilton系统.     

Theoretical calculation of the shock compression properties of liquid H2 + D2 mixtures

Based on liquid variational perturbation theory with quantum mechanics correction, the effective exp-6 potential is adopted to compute the shock Hugoniot of liquid H₂ + D₂ mixtures at different molar rations. An examination of the confidence of the above computation is performed by comparing experiments and calculations, in which similar calculation procedure used for H₂ + D₂ is adopted for H₂ and D₂ each, since no experimental data are available to conduct this kind of comparison. Good agreement in both comparisons is found. This fact may look as if an indirect positive verification of calculation procedure was used here at least in the pressure and temperature domain covered by the experimental data of H₂ and D₂ used for comparison, numerically nearly up to 20 GPa and 10⁴ K. Project supported by the Science and Technology Foundation of China Academy of Engineering Physics (Grant No. 97Z011).     

Lax可积系统的有限变换对称群及严格解

本文用一种简单直接的方法研究了非线性物理系统Davey-Stewartson方程及（２＋１）维的Camassa-Holm方程，并给出了它们的有限变换对称群及对称。