A New Conserved Quantity Corresponding to Mei Symmetry of Tzenoff Equations for Nonholonomic Systems

A new conserved quantity is investigated by utilizing the definition and discriminant equation of Mei symmetry of Tzénoff equations for nonholonomic systems. In addition, the expression of this conserved quantity, and the determining condition induced new conserved quantity are also presented.     

金属膜声波导中频散特性研究

我们在严格地考虑了晶体中表面波速度的各向异性的条件下,讨论了金属膜声波导中频散效应.接着我们用光学法对常用的Y切割Z传播的铌酸锂晶片上的金属膜声波导进行了实验验证.结果表明:我们的理论计算结果比以往的近似理论计算结果与实验更好地符合.     

求解非线性方程的一个新方法

提出了一种求解非线性方程的数值方法，此方法不需要导数的计算，其收敛阶与抛物线法相同，但计算量要比抛物线法小得多。     

From Discreteness to Continuity： Dislocation Equation for Two-Dimensional Triangular Lattice

A systematic method from the discreteness to the continuity is presented for the dislocation equation of the triangular lattice. A modification of the Peierls equation has been derived strictly. The modified equation includes the higher order corrections of the discrete effect which are important for the core structure of dislocation. It is observed that the modified equation possesses a universal form which is model-independent except the factors. The factors, which depend on the detail of the model, are related to the derivatives of the kernel at its zero point in the wave-vector space. The results open a way to deal with the complicated models because what one needs to do is to investigate the behaviour near the zero point of the kernel in the wave-vector space instead of calculating the kernel completely.     

《广义相对论入门讲座》连载——爱因斯坦场方程

1 场方程爱因斯坦认为,时空的弯曲由物质决定.有关方程的一端应该是时空曲率,另一端应该是能量和动量.时空曲率=能量动量(1)广义相对性原理要求物理规律在任何坐标系中都一样,广义相对论自身也不例外.     

A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the （3＋1）-Dimensional Generalized Nonlinear Schrodinger Equation

Abstract The （3＋1 ）-dimensional variable-coetfficient nonlinear SchrSdinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time Tm and the accumulated time To based on maximum amplitude of Kuznetsov Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated.     

Optical, Energetic and Exergetic Analyses of Parabolic Trough Collectors

Parabolic trough collectors generate thermal energy from solar energy. Especially, they are very convenient for applications in high temperature solar power systems. To determine the design parameters, parabolic trough collectors must be analysed with optical analysis. In addition, thermodynamics （energy and exergy） analysis in the development of an energy efficient system must be achieved. Solar radiation passes through Earth＇s atmosphere until it reaches on Earth＇s surface and is focused from the parabolic trough collector to the tube receiver with a transparent insulated envelope. A11 of them constitute a complex mechanism. We investigate the geometry of parabolic trough reflector and characteristics of solar radiation to the reflecting surface through Earth＇s atmosphere, and calculate the collecting totM energy in the receiver. The parabolic trough collector, of which design parameters are given, is analysed in regard to the energy and exergy analysis considering the meteorological specification in May, June, July and August in 1sparta/TUrkey, and the results are presented.     

Darboux Transformation with a Double Spectral Parameter for the Myrzakulov-I Equation

The Myrzakulov-I equation is a 2＋l-dimensional generalization of the Heisenberg ferromagnetic equa- tion and has a non-isospectral Lax pair. The ex- plicit solutions to the Myrzakulov-I equation have been discussed by many researchers. Darboux transformation is one of the useful methods to ob- tain explicit solutions to the nonlinear partial differ- ential equation. The Darboux transformation of de- gree 1 for this equation has been constructed and exact global ＇one-soliton＇ solutions are derived.     

Linearization of Systems of Nonlinear Diffusion Equations

We investigate the linearization of systems of n-component nonlinear diffusion equations; such systems have physical applications in soil science, mathematical biology and invariant curve flows. Equivalence transformations of their auxiliary systems are used to identify the systems that can be linearized. We also provide several examples of systems with two-component equations, and show how to linearize them by nonlocal mappings.     

书写离子方程式常见错误例析

离子方程式正误判断是高考化学中重现率很高的题型,掌握离子方程式的正误判断技巧,可提高解题效率。笔者就书写离子方程式常见错误进行了分类例析。