Approximate symmetry reduction for perturbed nonlinear SchrSdinger equation

We investigate the one-dimensional nonlinear SchrSdinger equation with a perturbation of polynomial type. The approximate symmetries and approximate symmetry reduction equations are obtained with the approximate symmetry perturbation theory.     

Thermal transport property of investigated by molecular Ge34 and d-Ge dynamics and the Slack＇s equation

In this study, we evaluate the values of lattice thermal conductivity κL of type Ⅱ Ge clathrate （Ge34） and diamond phase Ge crystal （d-Ce） with the equilibrium molecular dynamics （EMD） method and the Slack＇s equation. The key parameters of the Slack＇s equation are derived from the thermodynamic properties obtained from the lattice dynamics （LD） calculations. The empirical Tersoff＇s potential is used in both EMD and LD simulations. The thermal conductivities of d-Ge calculated by both methods are in accordance with the experimental values. The predictions of the Slack＇s equation are consistent with the EMD results above 250 K for both Ge34 and d-Ge. In a temperature range of 200-1000 K, the κL value of d-Ge is about several times larger than that of Ge34.     

Motif structure and cooperation in real-world complex networks

Networks of dynamical nodes serve as generic models for real-world systems in many branches of science ranging from mathematics to physics, technology, sociology and biology. Collective behavior of agents interacting over complex networks is important in many applications. The cooperation between selfish individuals is one of the most interesting collective phenomena. In this paper we address the interplay between the motifs’ cooperation properties and their abundance in a number of real-world networks including yeast protein-protein interaction, human brain, protein structure, email communication, dolphins’ social interaction, Zachary karate club and Net-science coauthorship networks. First, the amount of cooperativity for all possible undirected subgraphs with three to six nodes is calculated. To this end, the evolutionary dynamics of the Prisoner’s Dilemma game is considered and the cooperativity of each subgraph is calculated as the percentage of cooperating agents at the end of the simulation time. Then, the three- to six-node motifs are extracted for each network. The significance of the abundance of a motif, represented by a Z-value, is obtained by comparing them with some properly randomized versions of the original network. We found that there is always a group of motifs showing a significant inverse correlation between their cooperativity amount and Z-value, i.e. the more the Z-value the less the amount of cooperativity. This suggests that networks composed of well-structured units do not have good cooperativity properties.     

利用双参变形自旋相干态计算量子代数SU(2)q,s的Clebsch-Gordan系数

利用量子代数SU(2)_q,s的双参数变形自旋相干态,通过引入量子代数SU(2)_q,s的不可约表示张量积空间的Bargmann表示,导出了这一表示中不可约表示基底、双参数变形自旋相干态以及算符的表达式.最后导出了量子代数SU(2)_q,s在双参数变形自旋相干态下的Clebsch－Gordan系数.     

Travelling Solitary Wave Solutions for Generalized Time-delayed Burgers-Fisher Equation

In this paper, travelling wave solutions for the generalized time-delayed Burgers-Fisher equation are studied. By using the first-integral method, which is based on the ring theory of commutative algebra, we obtain a class of travelling solitary wavesolutions for the generalized time-delayed Burgers-Fisher equation.A minor error in the previous article is clarified.     

广义拉盖尔多项式及碱金属原子径向方程的求解

将碱金属原子径向方程化为广义拉盖尔多项式微分方程，方便地求出了碱金属原子体系的能级及广义拉盖尔多项式表示的径向波函数。所得结果不仅适用于碱金属原子，也适用于氢原子，类氢离子。     

对立方型状态方程的分析和改进及对超临界工质的计算

1对现有立方型状态方程特性的分析研究与改进现有的立方型状态方程无论是SRK方程还是PR方程都有其固定的适用范围，井且与偏心因子有关。另外，这两个方程的引力项中均引人温度函数叫Tr；叫。但是，偏心因子。不反映强极性物质的特点，这对计算强极性质起不到应有的作用，还有这两个方程中的常数a和b，其系数几和成都是定值，特别是门数值偏大，对计算液体密度是不利的，甚至有时还出现摩尔体积比6值还小，即V＜6，这是很不合理的。在超临界流体区流体密度也比较大，相当于液体密度，故这种状态方程也不适用，基于这些不足之处，本文作者…     

层流中固体颗粒运动方程的初值问题和稳定性分析

层流中固体颗粒运动方程的初值问题解的存在唯一性表明悬浮颗粒在圆管层流人口段剪切区中的运动，由进入该区的颗粒初始状态（初始位置和初始速度）确定，其运动轨迹也由该初始状态唯一确定。层流中固体颗粒运动方程稳定性分析表明达到稳定状态的颗粒必定满足条件：up＝uf（∞，c），up＝0，Re（α／R）2（c／R）＜2．8728．     

基于热致非线性效应的暗空间光孤子实验研究

实验研究了热致非线性效应作用下，Ｃ＾６０甲苯溶液中强连续激光激发暗空间光孤子的过程，并给出了数值模拟结果。     

钝感炸药圆筒试验与爆轰产物JWL状态方程研究

 对以TATB为主的钝感炸药JB-9014进行了25 mm和50 mm两种装药直径的圆筒试验，测试了TU1圆筒在爆轰产物驱动下的膨胀过程R(t)关系。对圆筒试验进行了综合分析和二维数值模拟计算，综合评估了JB-9014的作功能力和圆筒试验的相似性。通过二维流体动力学数值模拟，确定得到了JB-9014炸药爆轰产物JWL状态方程参数。经对JB-9014二维平面滑移爆轰驱动试验的数值模拟检验，证明确定的JWL状态方程参数是可靠的，具有较高的精度和普适性。