THE WAVE FRONT SOLUTIONS OF A REACTION-DIFFUSION SYSTEM WITH NONLINEAR DIFFUSING TERM

The wave front solutions of a Fisher-like equation with highly nonlinear diffusion is studied. The linear stability of the waves is investigated by employing Galerkin Procedure. The global stability. problem is also investigated by numerical simulations. The results demonstrate that the waves possess some special characteristic features, which are different from those of semiLinear Fisher equation.     

冲击波阵面后温度的传导问题

 证明了在一般不计辐射的冲击波阵面后，存在一个热传导波，它的波速完全和冲击波的一致，但阵面后的温度分布有其自己的规律。     

非线性波动方程的孤波解

用平衡法并结合吴消元法得到了一类较广泛非线性波动方程u_tt-a₁u_xx+a₂u_t+a₃u+a₄u³=0的若干孤波解公式，从而物理学上许多著名的方程，如φ⁴方程、Klein-Gordon方程、Landau-Ginzburg-Higgs方程、非线性电报方程等都可作为该方程的特殊情形得到相应的孤波解 关键词：     

CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS

This paper studies the response cumulants for a kind of special nonholonomic systems under non-Gaussian, delta-correlated excitations. We present a new methodology for formulating the equations governing the evolution of the response cumulants of the stochastic dynamic systems. The response cumulant differential equations (CDEs) derived can be used to calculate the response cumulants for both linear and nonlinear systems. One example is given to illustrate how to use the CDEs for calculating response cumulants.     

GENERAL SOLUTIONS OF A CLASS OF DISSIPATIVE SYSTEMS AND THEIR APPLICATIONS

General solutions are obtained for a class of quantum dissipative systems. This is achieved by calculating the characteristic function in the Heisenberg picture. The irreversible behavior of these systems is nalyzed. The general formalism is applied to some typical examples and the influence of noise on these systems is gained.     

激光维持爆震波阵面的紫外辐射

本文研究激光维持爆震波阵面的紫外辐射强度、吸收系数和穿透LSD波阵面的紫外辐射功率密度。考虑了韧致、自由-束缚和线跃迁三种过程,给出的紫外辐射功率密度表明,LSD波阵面紫外辐射值得重视。     

环形激光光束的波前复原算法比较

针对环形激光光束净化自适应光学系统中的波前传感器子孔径与变形反射镜驱动器布局,仿真比较了直接斜率法、区域法的Fried模式和Southwell模式三种波前复原算法, 其中, 直接斜率法的波前校正能力及稳定性均为最好。     

环形激光光束的波前复原算法比较

 针对环形激光光束净化自适应光学系统中的波前传感器子孔径与变形反射镜驱动器布局，仿真比较了直接斜率法、区域法的Fried模式和Southwell模式三种波前复原算法, 其中, 直接斜率法的波前校正能力及稳定性均为最好。     

介质初始密度对波阵面辐射特性的影响

 通过一维辐射流体动力学数值模拟,仔细研究了工作介质的初始密度对在氖中传播的强冲击波的波阵面辐射特性、波阵面亮度温度谱分布的作用。证明对于不同强度的冲击波,工作介质选用不同的初始密度,对其中传播的强冲击波波阵面辐射能力的提高是比较有效的。     

一类五阶非线性演化方程的新孤波解

利用齐次平衡法给出了一类较广泛的五阶非线性演化方程的孤波解，数学物理中著名的Kaup-Kupershmidt方程、Caudrey-Dodd-Gibbon-Sawada-Kotera方程和五阶Korteweg-de-Vries方程等都可作为该方程的特殊情形而得到相应的孤波解. 关键词：     

ON FINITE NORMAL SERIES SOLUTIONS OF RELATIVISTIC WAVE EQUATIONS

We present a method for finding exact solutions of relativistic wave equations (RWE) that are given by finite normal series (FNS). Using a certain factorization method we rewrite the most general potential for which the RWE is solved by a FNS function in a canonical form such that FNS solutions for rational potentials can be obtained by solving simple algebraic equations.     

一种宽带高温超导微带天线的研究

为提高辐射效率和扩展工作带宽,对一种口径耦合馈电的多层介质高温超导微带天线进行了设计.设计时首先利用高温超导体低表面电阻的特性,通过在馈电网络部分引入高温超导材料的方法提高了天线的辐射效率,然后针对高温超导微带天线衬底介电常数过高,导致天线带宽过窄的问题,在天线的结构上增加了一层真空衬底,降低了天线的平均介电常数,同时,为进一步扩展天线的工作带宽,设计时在天线的馈电部分还采用了口径耦合馈电的方式.仿真结果表明了文中设计思想的可行性和有效性.     

一个非线性方程的显式行波解

利用双曲函数法和吴文元代数消元法,获得了RLW方程的多组行波解,其中包括新的行波解、有理函数形式的行波解.     

一类非线性演化方程新的显式行波解

借助Mathematica软件,采用三角函数法和吴文俊消元法,获得了一类非线性演化方程u_tt+au_xx+bu+cu³=0的三组行波解,其中包括新的行波解、扭状孤波解和钟状孤波解.从而作为该方程的特例,如Duffing方,Klein-Gordon方程、Landau-Ginburg-Higgs方程和⁴方程等也都获得了相应的若干行波解.这种方法也适用于其他非线性方程. 关键词：     

有限系统的电子结构研究

选取二维和三维亚方晶格作为有限系统的集团模型，在紧束缚近似下，分别计算了不同尺寸集团的态密度。探讨了态密度与集团大小的关系以及受表面效应的影响。     

一种新型有机倍频材料——苯基脲的倍频性能研究

报道了一种新型优质有机倍频材料———苯基脲并对其进行了初步研究.苯基脲具有很强的二阶非线性光学效应,其粉末二次谐波产生效率为尿素的11倍 截止吸收波长为λcutoff=290nm,有很宽的透光波段 抗光损伤实验表明,苯基脲具有较高的抗光损伤阈值 并且晶体生长习性良好.计算分析了苯基脲的微观二阶非线性光学性质. 关键词：     

混合配对态波函数方程的解

从群论分析角度,在C_4v点群中,讨论了高温超导混合配对态对称性问题.考虑了层间载流子库仑关联而引起的格子正交畸变,克服了以往的混合配对态分析中双相变点的困难.对s+id混合波Ginzburg-Landau方程的求解,给出了波函数的特征;而对外磁场下临界电流行为的分析,进一步揭示了“本征钉扎”的物理实质;从而对外场下高温超导体临界电流的反常行为及电阻-温度曲线展宽现象给出一种理解. 关键词：     

STUDY OF THE IMPINGEMENT OF IMPULSE WAVE UPON A FLAT PLATE

The impulse wave is made by the weak normal shock discharge from an open end of a shock tube. In order to understand the dynamic characteristics of the impulse wave impinging upon a flat plate, experiments are performed over the shock Mach number range from 1·01 to 1·20. A flat plate is placed downstream, normal to the axis of the shock tube, to simulate the impulse wave impingement on an object. The distance between the exit of the shock tube and flat plate is changed. The baffle plate is installed at the exit of the shock tube. The sizes of the baffle plate and impinging flat plate are varied to investigate the magnitude of the impulse wave impinging upon the flat plate. Computational analysis is applied to model the flow field subject to unsteady, axisymmetric, inviscid, compressible, equations. Computational results well predict the experimented dynamic behavior of the impinging impulse wave. The impulse wave impinging upon the flat plate has a sharp peak of very short rising time and its magnitude decreases with distance from the center of the flat plate. The magnitude of the impulse wave impinging upon the flat plate can be predicted by the empirical equations that are developed in the present study.