Riccati-type Baicklund transformations of nonisospectral and generalized variable-coefficient KdV equations

We extend the method of constructing Bgcklund transformations for integrable equations through Riccati equations to the nonisospectral and the variable-coefficient equations. By taking nonisospectral and generalized variable-coefficient Korteweg-de Vries （KdV） equations as examples, their Backlund transformations are obtained under a more generalized constrain condition. In addition, the Lax pairs and infinite numbers of conservation laws of these equations are given. Es- pecially, some classical equations such as the cylindrical KdV equation are just the special cases of the constrain condition.     

Auto-Baecklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

Using the truncated Painlevé expansion, an auto-Baecklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili （GKP） equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries （cKdV） equation, the cylindrical KP （cKP） equation and the generalized cKP （GcKP） equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.     

存在温度梯度时玻耳兹曼方程的实际弛豫近似解

考虑了存在温度梯度时，导体和半导体内传导电子的能量应视为温度的函数，从而给出了导体和半导体热导系数的更合理的推导过程及汤姆孙系数的更准确的量子统计表示。     

推导CG系数表达式的一种方法

用求解齐次线性代数方程组的方法导出了Ｃｌｅｂｓｃｈ－Ｇｏｒｄａｎ系数的一种表达式。     

混合制冷剂相互作用系数的研究-Lee-Kesler-Pl(o)cker通用状态方程

混合制冷剂的相互作用系数是制冷空调应用中建模和计算制冷剂热力性质所需的一个重要参数,本文利用大量的汽液相平衡实验数据结合LKP方程进行了热力学关联,提出了适合于计算HFCs混合制冷剂的相互作用系数的一种算法,求取的相互作用系数用于汽液相平衡和循环分析计算具有较高精度,与实验数据或其他热力模型计算结果吻合情况良好.     

混合制冷剂液相导热系数预测方程

本文提出了一个预测液相制冷剂混合物导热系数的方程。这种预测方法仅需要已知混合物各组元的导热系数、分子量、摩尔成分等几种物性,就可预测混合物的导热系数．本预测方程形式简单,并通过与文献试验数据及其它预测方程比较,证明本预测方程的计算精度比其它方程较高,能够满足工程要求。     

用气垫导轨测液体的粘滞系数

用气垫导轨参与测定液体的粘滞系数, 使实验处在等精度条件下进行, 且减少了手计时误差, 有利于拓宽学生的视野, 提高其实验技能     

Grammian Solutions to a Variable-Coefficient KP Equation

Solutions in the Grammian form for a variable-coefficient Kadomtsev-Petviashvili （KP） equation which has the Wronskian solutions are derived by means of Pfaffian derivative formulae.     

Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact Solutions to Nonlinear SchrSdinger Equations with Variable Coefficient

In this paper, by means of the variable-coefficient mapping method based on elliptical equation, we obtain explicit solutions of nonlinear Schrodinger equation with variable-coefficient. These solutions include Jacobian elliptic function solutions, solitary wave solutions, soliton-like solutions, and trigonometric function solutions, among which some are found for the first time. Six figures are given to illustrate some features of these solutions. The method can be applied to other nonlinear evolution equations in mathematical physics.     

The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term

By use of an auxiliary equation and through a function transformation, the Jacobi elliptic function wave-like solutions, the degenerated soliton-like solutions and the triangle function wave solutions to two kinds of Korteweg--de Vries (KdV) equations with variable coefficients and a KdV equation with a forcible term are constructed with the help of symbolic computation system Mathematica, where the new solutions are also constructed.     

关于耦合振子运动的研究

本文从动力学方程入手，对耦合双振子系统的运动进行了细致求解，并对结果的物理意义和系统能量问题作了深入讨论。     

降低格子Boltzmann方程沾滞系数的有效方法

如果将格子Boltzmann方程的碰撞项由Fermi型改为Boltzmann型,可大幅度地降低沾滞系数,从而提高了用格子Boltzmann方程模拟流体运动的效率。理论分析与模拟结果精确的一致。 关键词：     

通过边界积分方程方法研究在不均一有裂纹的统一体中的波衍射(英文)

pacc:0200,8100,4210h Wavediffractionininhomogeneouscracked continuawithadepth-dependentshearmodulus andunderconditionsofplanestrainisstudied herein.Arestrictedtypeofinhomogeneityiscon sidered,wherePoisson sratioisfixedatone-quarter,whilebothshearmodulusan…     

Vacuum Susceptibility Calculation

The vector susceptibility is investigated numerically in the Dyson-Schwinger approach. The results agree with those obtained analytically previously by using a simple gluon propagator.     

Gasser-Leutwyler Coefficients of Chiral Lagrangian for Pseudoscalar Goldstone Bosons

Based on the Dyson-Schwinger equations in raAnbow approximation for quark propagator with an effective gluon propagator, and on the parametrized fully dressed quark propagator proposed by us, the unknown GasserLeutwyler coeiticients of the chiral Lagrangian for pseudoscalar Goldstone bosons, Li, are predicted respectively. The predicted values of Li in the two different ways are not only in reasonable agreement each other but also in agreement with empirical values used widely in literature and the values predicted by many other theoretical models with QCD characteristics. The compatible results of Gasser-Leutwyler coefficients predicted by our parameterized quark propagator, in turn, clearly verify its extensive validity.     

广义Abel方程的Gauss数值积分法

采用Ｇａｕｓｓ数值积分法将光学厚柱对称等离子体径向发射系数的广义Ａｂｅｌ方程离散成系数是上三角矩阵的线性代数方程组，计算特别简单，省时间，具有２阶精度。     

三热源循环的Bucher图

应用卡诺循环的Bucher图形象地表示出三热源循环，并由图中的相似三角形直接导出三热源循环的能量守恒方程、熵守恒方程和性能系数．     

构造变系数非线性发展方程精确解的一种方法

给出构造变系数非线性发展方程精确解的一种函数变换,并和第二种椭圆方程相结合,借助符号计算系统Mathematica,以带强迫项变系数组合KdV方程为例,得到了该方程新的类Jacobi椭圆函数精确解以及退化后的类孤子解和三角函数解. 关键词： 辅助方程 函数变换 变系数非线性发展方程 精确解     

辅助方程构造带强迫项变系数组合KdV方程的精确解

在辅助方程法的基础上给出第一种椭圆辅助方程和函数变换相结合的一种方法,并借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的类Jacobi椭圆函数精确解以及退化后的类孤子解和三角函数解. 关键词： 辅助方程 函数变换 变系数组合KdV方程 精确解