Backlund transformation and exact solutions for whitham-broer-kaup equations in shallow water

I.IntroductionTodescribethepropagationofshallowwaterwave,manywell-knowncompletelyintegrablemodelsareintroduced,suchasKdVequatioll,Boussinesqequation,K-Pequation,WBKequation,etc.UnderBoussinesqapproximation,Whitham,BroerandKaupl"2'3]obtainednon-lilleurWBKequationwhereu=u(x,l)isthefieldofhorizontalvelocity;v=v(x,t)istheheightthatdeviatefromequilibriumpositionofliquid;a,gareconstantsthatrepresentdift'erentdispersivepower.TheEqs.(1.I),(l.2)areverygoodmodelstodescl.ibedispersivewave.Ifa=0,P…     

一类分数阶p（x）-拉普拉斯方程的多重解

利用临界点理论、变分方法和分数阶变指数Sobolev空间理论, 研究带有非局部系数的分数阶p(x)-拉普拉斯方程边值问题的可解性。当非线性项在零点附近次线性或在无穷远处局部超线性增长时, 得到了此类问题多重解存在的充分条件。     

单频偏振激光干涉仪中波片对非线性误差的影响

研究了用于纳米测量的激光干涉仪中光学波片对非线性误差的影响,基于琼斯矩阵理论建立了多波片的误差分析模型,分析了λ/2和λ/4波片引起的干涉仪非线性误差,对波片位置引起的非线性误差进行了实验研究.结果表明,波片位置调整精度对干涉仪测量影响巨大,在0～5°范围内,λ/2波片和λ/4波片引起的非线性误差分别为6.5 nm和9...     

现场条件下大空间三维精密定位原理与方法

提出了一种在现场条件下实现十几米空间范围内点三维坐标精密测量方法,该方法同时解决了大尺寸物体表面三维形貌测量中单元数据拼接精度低的问题.在空间待测点处设置可视特征,称为全局控制点,利用近景摄影测量手段获取被测信息,通过高精度图像处理技术、全局控制点自动精确配准技术和基于光束交汇的光束平差技术,恢复全局控制点的三维信息.实验结果表明,该方法在使用普通数码像机的情况下实现相对测量精度0.073%.且具有操作灵活自由、测量速度快、自动化程度高和测量精度高的优点.     

带有类p-Laplacian算子的Kirchhoff型方程的多重解

研究一类带有类p-Laplacian算子的Kirchhoff型方程.利用对称山路定理,得到了多重解存在的充分条件,推广和改进了已有结果.     

非自治p(t)-拉普拉斯系统周期解的存在性

本文研究一类非自治p(t)-Laplace系统.利用鞍点定理和极小作用原理,获得了周期解存在的充分条件,推广和改进了文献[8]中的结果.     

二维各向异性浮雕型光栅的矢量衍射分析

利用严格模式理论对二维电磁各向异性浮雕型介质光栅的衍射特性进行了理论分析，并对其退化情形进行讨论。文中采用反射-透射系数矩阵算法和校正傅里叶展开规则以提高数值计算的稳定性、收敛性和计算效率。通过对光栅进行数值计算表明，该方法在可靠性、稳定性和收敛性方面是令人满意的。     

Random Phases and Energy Dispersion

Using 2N 1 successive stationary states centred at nth,we construct a rectangular wavepacket in which the stationary states are superimposed with the equal weight 2N 1.With the requirement of the wavepacket to be a quasi-classical state,the number N is determined by minimizing the uncertainty ΔxΔp,Since the stationary state can only be determined to within an arbitrary multiplicative complex phase factor of unit magnitude,a number of N is obtained as a set of the phases are given.For a harmonic oscillator,when all of the phase factors are essentially the same,we have N≈[6^1/3n^2/3] with [x] signifying the integral part of positive number x,When every phase in the phase factors is given by a random number generated in a closed interval [0,2π] and when n≥10,the probability of appearance of N is roughly 1/2^N when N=1 to 7,and does not exceed 0.01 when N≥8.     

基于束参数测量系统的嵌入式远程控制方法

利用嵌入式方法研制的计算机远程控制系统实现了对LIA束参数测量系统的实时远程控制。嵌入式控制系统结构紧凑．有效地解决了在LIA中强流干扰下的束参数测量困难。     

Pellet Enhanced Performance on the HL-2A Tokamak

Enhanced confinement has been achieved by the centre fuelling of pellet injection on the HL-2A tokamak. The energy confinement time increases from 50ms to 140ms after the pellet injection. Experimental results show that the improvement of the confinement is related to the decrease of the electron heat transport. Several phenomena which may lead to the improved confinement have been observed in the experiments. After the pellet injection the hollow electron temperature profile and the peaked electron density profile can be sustained for about 200ms, but the improved confinement remains at about 500ms. Sawtooth features and MHD modes have been observed by soft x-ray array and the Mirnov probes. The weak （or reversed） magnetic shear is thought to be an important cause of the low electron heat transport.