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Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解:用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能,它不但使我们能找到已知解而且也能找出新的根式孤立波解;用齐次平衡法给出一个曲面波方程的精确孤立波解,并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法,作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等;用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解;提出sine-Gordon型方程的直接求解方法,并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

This problem is also important and valuable in Nonlinear Optics. It will be very helpful to understand how the aberrations affect the course of three- wave mixing, such as the change of conversion efficiency, the distribution of intensity and phase.Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental waves aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

首次从三维三波相互作用方程组推导得到了位相畸变光束倍频的小信号解;通过建立国防科学技术人学研究生院学位论文三维数值模型,编写相应仿真程序,首次得到了位相畸变光束倍频过程的大量计算结果,深入细致地研究了位相畸变光束经非线性光学频率变换后谐波的转换效率、光强分布、位相分布以及影响它们的各种因素;得出谐波的远场发散角和光斑二阶矩的变化规律会因为基波像差的不同而不同,但谐波的远场发散角明显地比相应基波的小的结论;得到了在走离效应和衍射效应等影响许多因素可以忽略的情况下,位相畸变传递到二次谐波的估算式;举例分析了KDP三倍频方案中,基波位相畸变对二次谐波和三次谐波的影响;实验工作中,用哈特曼一夏克传感器分别对IO64nm倍频过程和790飞秒超短脉冲倍频过程中的基波和谐波的位相分布进行了测量,给出了相应结果。

Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental wave's aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

首次从三维三波相互作用方程组推导得到了位相畸变光束倍频的小信号解;通过建立三维数值模型,编写相应仿真程序,首次得到了位相畸变光束倍频过程的大量计算结果,深入细致地研究了位相畸变光束经非线性光学频率变换后谐波的转换效率、光强分布、位相分布以及影响它们的各种因素;得出谐波的远场发散角和光斑二阶矩的变化规律会因为基波像差的不同而不同,但谐波的远场发散角明显地比相应基波的小的结论;得到了在走离效应和衍射效应等影响许多因素可以忽略的情况下,位相畸变传递到二次谐波的估算式;举例分析了KDP三倍频方案中,基波位相畸变对二次谐波和三次谐波的影响;实验工作中,用哈特曼-夏克传感器分别对1064nm倍频过程和790飞秒超短脉冲倍频过程中的基波和谐波的位相分布进行了测量,给出了相应结果。

Experimental investigation indicates that shock wave velocity and shock wave pressure of beginning which were produced with aluminize RHTL were smaller than that of insensitive RDX in steel plate, however, attenuating velocity of shock wave velocity and shock wave pressure which were produced under contact explosion with aluminize RHTL were quciker than that of insensitive RDX in steel plate, when steel- plate had been separately operated under contact explosion with insensitive RDX and aluminize RHTL, and shock wave press had changed suddenly in the interface between steel and aluminum, In the circumstances, the shock wave velocity had ascended suddenly and shock wave pressure had descended suddenly.

实验研究表明:RHTL炸药爆炸加载钢板下,介质中的冲击波初始速度和初始压力相对RDX较小,衰减相对较快;钝化RDX和含铝炸药RHTL分别作用于钢铝复合板时,在分界面处冲击波速度和压力都发生突越,冲击波速度突跃,冲击波压力突降。

The main results can beexpressed as follows:(1)Based on πtheory, some affected factors about wave forces are given, and therelation between affected factors and wave forces is analysised by experimentalresults.(2) The distribution of wave press at representative time and reflection nature aregiven and their variety charactes are discussed by experimental results.(3)By comparing the wave forces of quarter-circular breakwater and semi-circularbreakwater under the same wave conditions,some approximately wave forcesexpressions of quarter-circular breakwater are given.(4)Based on VOF method to trace water free surface,solve numerical value ofRANS equation,and get the distributions of flow field and wave press ofquarter-circular breakwater at the same time during one period,the mechanism ofwave force is also discussed elementarily.(5) Based on the result that RANS equation of numerical simulation agree wellwith experimental results,a new approach to study hydraulic natures of quarter-circular breakwater is provided.

其主要结论如下:一、通过π定理,确定影响波浪力的无因次参变量,根据试验结果对其影响因素进行分析;二、基于模型试验,给出典型时刻圆弧面防波堤的同步波压分布和反射特性,讨论它们的变化特点;三、通过相同条件下圆弧面防波堤与半圆型防波堤两种堤型试验波浪力的比较,给出了圆弧面防波堤波浪力的近似方法;四、利用VOF法追踪自由水面,数值求解RANS方程,得到圆弧堤堤体周围的流场和压力场,初步分析了速度涡流与压力场的相互影响;五、对比数值分析与试验结果,探讨数值方法研究圆弧面防波堤水力特性的可行性,提供新的研究途径

The results show that there exist the fast P wave (qP1), fast S wave (qS1), slow S wave(qS2) and slow P wave(qP2) in 3-D dual-phase anisotropic media during the propagation of elastic wave. And the special phenomena such as the S wave splitting, the blind paints of the S wave splitting and wavefront triplication are clearly observed.

结果表明,弹性波在三维双相各向异性介质中传播时存在快纵波qP1、快横波qS1、慢横波qS2和慢纵波qP2,并清楚地观测到了横波分裂、横波分裂盲点、波面三分叉等特殊现象。

The wave is the core problem of low Fr. current .In order to make diffluent piers with low ridge to be popularized and applied, the surface wave of low Fr. current is chosen as the research object .We measure the surface wave elements and the velocity distribution of various diffluent piers scheme by the experiment of physical model. We also analyze the average wave height, the the average value of the square of wave , unit width of the waves energy , the probability density distribution of wave height ,and the power chart character, so as to reveal the weakening wave mechanism of the diffluent piers .

低Fr水流的核心是波浪问题,为了低坎分流墩的推广应用,本研究以低Fr水流的表面波浪作为研究对象,通过物理模型试验,对各种分流墩方案消能工的下游水面波浪要素、流速分布进行测试,分析低坎分流墩下游波浪的平均波高、均方根、单宽波能、波高概率密度分布及功率谱特性变化规律,从而揭示了低坎分流墩的削波机理。

In Wistar rats, latent period of a-wave in scotopic rod response after 1-week transplantation was shorten (P.05); and latent period of a-wave in scotopic rod response after 2-week transplantation was prolonged (P.05); while latent period of b-wave in scotopic maximum response after 1-week transplantation was shorten (P.05). In RCS rats, amplitude of a-wave in scotopic rod response and photopic response after 4-week transplantation was increased (PO.05); while latent period of a-wave in scotopic rod response after 4-week transplantation was shorten (PO.05).Conclusion 1. At the age of 3 months, photoreceptors of the RCS rat degenerated completely, which leaded to the reduction of amplitudes of a-wave and b-wave.

Wstar大鼠术后1周的暗适应视杆反应,a波潜伏期缩短o叼。05);术后2周的暗适应视杆反应,a波潜伏期延长o功刀5):术后1周的暗适应最大反应,b波潜伏期缩短o功刀5卜*CS大鼠术后4周的暗适应视杆反应和明适应反应,a波振幅增大o功刀匀;术后4周的暗适应视杆反应,a波潜伏期缩短o<0卜结论1、RCS大鼠在3月龄时感光细胞变性死亡,导致FERG的a、b波振幅明显降低;视网膜下腔仍存在感光细胞外节盘膜碎屑,外丛状层缺乏感光细胞的突触末端,同时Muler细胞出现反应性胶质纤维增生。

The main content included in the paper is as follows: The European identification methods of type of wave load is introduced and compared with the methods in Code of Hydrology for Sea Harbour. In order to reveal their difference, they are tested by the experiment data. The relation between phase and frequency are analysed through the Hilbert and wavelet transformations. And a new method of identifying the breaking wave load is set up based on the linear relation between wave height and wave press before the breakwaters. The probability distribution is tested by the statistic of experiment data. Based on the experiment data, the paper analysed the influence of reflection coefficient according to different factors, and its property is got. The work property of charmfered breakwater under breaking waves is analysed. Through the statisticof its wave press and wave force the distribution of press on the breakwater front face and its reducing effect to breaking wave force are proved.

本文基于此,通过实验研究,主要作了如下工作:介绍了欧洲波态划分方法,分析与我国方法的异同,通过实验进行了验证;通过 Hilbert 变换和小波变换对波浪破碎的相频特性进行了分析,通过建立波高与波压关系来判别破碎波浪力;对破波条件下波浪力的分布进行了统计研究,验证了其分布类型;利用实测资料,分析了不同因素对反射系数的影响,得出了不同周期、波浪要素、破碎率下反射系数体现的不同规律;分析了破碎波作用下削角堤的工作特性,通过对堤面所受的波压力和总力的统计分析,验证了压强分布规律及削角堤对波浪力的削减作用。

In section one, by using FICE scheme and TIME-GCM, a model of trace gases and OH airglow affected by gravity wave is set up, then the propagation of nonlinear gravity wave and the effect on trace gases and OH airglow are analyzed. The result shows gravity wave excited by tropospause forcing can propagate stably to the mesosphere through the stratosphere so that energy and momentum can be transferred from one region to another. In this process, gravity wave undergoes growth, overturning, convection and breaking. And the no-isothermal structure can accelerate the breaking of gravity wave in mesospause, and the breaking of gravity wave is an important source of convection and small-scale waves. The propagation of gravity wave will affect the distribution of minor species.

在第一部分的工作中,利用全隐欧拉格式和全球热层-电离层-中间层-电动力学环流耦合模式,对重力波的非线性传播及其在传播过程中对中高层大气中氧族和氢族成分和与之密切相关的OH气辉辐射的影响进行了数值模拟,结果表明,从对流层向上传播的重力波经历了产生、发展、饱和、对流产生直至破碎的非线性演化,大气的非等温结构加速了重力波在中层顶区的破碎,重力波的非线性传播是小尺度对流和湍流产生的一个重要的源。

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推荐网络例句

I learned so much visiting with you, your administrators, deans and teachers. I also am very grateful to be able to meet so many students.

正如您在您的发言中提到的那样:&我们有共同的认识、共同的愿望和共同的理想。&

There is a complicated web of apprenticeships that serves to train up young dwarves and cement relations between clans .

一个非常复杂的学徒网络负责训练年轻的矮人,并促进氏族间的和睦关系。

I think this is the beginning of my artwork.

我想这就是我艺术的开始。