EXACT EXPLICIT SOLUTIONS OF THE NONLINEAR SCHRDINGER EQUATION COUPLED TO THE BOUSSINESQ EQUATION

A system comprised of the nonlinear Schrodinger equation coupled to the Boussinesq equation (S-B equations) which dealing with the stationary propagation of coupled non-linear upper-hybrid and magnetosonic waves in magnetized plasma is proposed. To examine its solitary wave solutions, a reduced set of ordinary differential equations are considered by a simple traveling wave transformation. It is then shown that several new     

EXACT SOLITRAY WAVE SOLUTIONS AND SINGULAR SOLUTIONS TO THE TWO-DIMENSIONAL NONLINEAR DISSIPATIVE-DISPERSIVE SYSTEM

IIntroductlonIntegrMle systems;both classical ajnd quantum me山anies,are aMclnatingsubject·Decades ofresearch In this areahave led to mathematical developme血s that are quite beau－tiful．However,not ail systems posed in physics are Integrable,M Instajnce,the Korteweg－deVies－Burgers(KdV－Burgers),Kur。ot。SI、hinsky(KS)and ifth－order dispersi、Kortevegde Vries(ifth－order KdV)eqUatio。 Therefore the direct methods to sol。nonlinear systemsppear to be more important．In this paper…     

固相萃取-在线凝胶渗透色谱-气相色谱/质谱法测定板栗中44种有机磷农药残留

建立了板栗中44种有机磷农药多残留的分析方法.样品以V(乙腈)∶ V((水)=4∶ 1为提取剂,经高速匀浆方法提取,提取液以ENVI-18固相萃取柱净化,除去样品中大部分的脂肪和甾醇等干扰基质,再经在线凝胶渗透色谱-气相色谱/质谱(GPC-GC/MS)分析,进一步除去样液中色素和脂肪等大分子干扰物质,有效地降低了样品中的复杂基质所带来的背景干扰.加标水平为0.05 mg/kg时,大部分农药的回收率为65%～120%, 相对标准偏差小于15%;44种农药的检出限为0.002～0.05 mg/kg.采用外标法定量,气相色谱-质谱法(GC-MS)定性定量分析,线性关系和回收率结果均满意.实验证明,本方法是一种快速、准确、灵敏度高的同时检测板栗中有机磷农药多残留的检测方法.     

Periodic-soliton solutions of the （2＋1）-dimensional Kadomtsev-Petviashvili equation

2N line-soliton solutions of the （2＋1）-dimensional Kadomtsev-Petviashvili equation can be presented by resorting to the Hirota bilinear method. By extending the real parameters into complex parameters, this paper obtains N periodic-soliton solutions of the （2＋1）-dimensional Kadomtsev-Petviashvili equation from the 2N line-soliton solutions.     

General explicit solutions of a classical Boussinesq system

Seeking a travelling wave solution of the classical Boussinesq system and making an ansatz for the solution,we obtain a nonlinear system of algebraic equations.We solve the system using an effective algorithm and then two general explicit solutions are obtained which are of physical interest.     

高原环境爆炸冲击波传播特性的实验研究

在评估弹药在高原的爆炸威力时,需要考虑高海拔条件对炸药爆炸冲击波参数的影响。为研究高海拔低气压条件下的冲击波传播规律,开展了模拟海拔高度h=500, 2 500, 4 500 m等3种气压条件下的爆炸冲击波测试实验。结果表明,当环境气压每下降20%时,冲击波超压、比冲量和到达时间平均降低约9%、10%和6%。将使用Sachs因子修正后的计算结果与测试数据进行对比分析,发现该方法能较好地预测不同环境条件下的爆炸冲击波参数。进一步分析了环境温度的影响,发现初始温度升高会使到达时间提前,本文实验的温度条件对超压和比冲量的影响并不显著。该研究结果对战斗部在高海拔的爆炸威力评估具有参考意义。     

求解线性方程组和一种迭代解法

本文对任意线性方程组ＡＸ＝Ｂ（Ａ∈Ｒ（ｎ×ｍ），Ｂ∈Ｒｎ），在文［１］基础上给出了一种迭代算法。其收敛速度比文［１］方法快，并证明了该算法的收敛性。最后，通过几个算例说明了本文算法的有效性。     

Infinite-Parameter Potential Symmetries and a New Exact Solution for the Particle-Cluster Dynamic Equation

The master equation of a one-dimensional lattice-gas model with order preservation where the occupation probabilities of sites corresponding to Bose statistics as a consequence of the prescribed dynamics is studied with the potential symmetry method.The infinite-parameter potential symmetry and a new exact solution are obtained.The result illustrates that there remains the possibility of the above nonlinear equation to a linear partial differential equation by a non-invertible mapping.     

泡沫铝在SHPB高温动态下的变形过程研究

利用分离式Hopkinson压杆(SHPB)实验装置研究轻质泡沫铝在动态压缩下的温度相关性,重点设计了一种基于SHPB的可视化高温炉,在此基础上通过高速摄影观测泡沫铝试件在高低温且动态压缩下的变形过程。动态加载下的实验结果表明：常温下,胞壁在变形过程中易于观察到屈曲失稳、撕裂、弯曲等现象,且在压缩的过程中碎片飞溅;高温下材料软化较明显,呈现出更多的塑性弯曲现象,但是屈曲失稳与撕裂的现象并不显著,变形过程中并无碎片产生。     

A connection between the(G'/G)-expansion method and the truncated Painlevé expansion method and its application to the mKdV equation

Recently the (G'/G)-expansion method was proposed to find the traveling wave solutions of nonlinear evolution equations. This paper shows that the (G'/G)-expansion method is a special form of the truncated Painlevé expansion method by introducing an intermediate expansion method. Then the generalized (G'/G)--(G'/G) expansion method is naturally derived from the standpoint of the nonstandard truncated Painlevé expansion. The application of the generalized method to the mKdV equation shows that it extends the range of exact solutions obtained by using the (G'/G)-expansion method.