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In this paper, we used the regularization method and the best disturbed iteration to solve such more extensive equations: every kind of positive problems and inverse problems of the hyperbolic partial differential equation and parabolic equation. We give homologous methods to solve the positive problems and inverse problems of nonlinear Burgers equation and Boussinesq equation.

本文应用正则化方法和最佳摄动量法,解决了一类更广泛的双曲型和抛物型偏微分方程的各类正问题及反问题,对非线性的Burgers方程及Boussinesq方程的正问题及反问题,也给出了相应的求解方法。

Through the study to the vortex theory, especially the mathematical model of Burgers vortex, we have got some factors, which affect the oil indraft performance of the device qualitatively. The main factors are principal axis rotation speed, structure dimension of whisk impeller and drainage impeller, installed positions of whisk impeller and characters of spilled oil.(3) According to the analysis of impact factors, from simple to complexity, we have done the experiment study to the artificial-jellyfish device by three steps.

2通过对Burgers涡数学模型的重点研究,对溢油回收人工水母装置吸油特性的影响因素进行了定性分析,得出了影响人工水母装置吸油特性的主要因素,主要影响因素有;装置的主轴转速、搅拌叶轮和排水叶轮的结构尺寸、搅拌叶轮的安装位置以及溢油的自身特性等。

First, based on the analysis of the grid Reynold number, the necessity for adopting high order scheme is emphasized when there is the complex flows with strong separation and high parameters gradient regions. Then, according to the entropy increased condition, the third order ENN scheme is constructed. Meanwhile, a fast, effective, and simple implicit numerical method called hybrid flux splitting method is developed. After that, the one dimensional model problem with many extrema and Burgers equation are simulated. Through the comparisons with exact solutions, the accuracy and effectiveness of the ENN scheme are confirmed.

首先通过对网格雷诺数的分析,论证了在求解含分离及较大参数梯度的流动时,采用高阶格式的必要性,然后从熵增原理出发,提出了建立三阶ENN格式的准则,同时发展并建立了一种快速、有效的简单隐式算法"混合通量分裂法",通过对一维模型问题及Burgers方程的数值试验,检验了三阶格式的计算精度。

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。

In the third section, the asymptotic behaviors of the solution for the generalized Burgers equation with convective function and nonconvective function are analyzed, respectively, both of which tend to the corresponding steady equation.

分别讨论了广义Burgers方程(0.2)在有对流流函数f及无对流流函数时解的渐进行为,它们分别趋于相应定常问题的解。

At the end of this section, the Burgers equation is computed and the results are very satisfactory.

在本节的最后,对Burgers方程进行了具体计算,得到了令人满意的计算效果。

In fact, Mr. Burgers, our price largely depends upon the size of your order.

黄:其实,burgers先生,我们的价格在很大程度上取决于您的订单的大小。

Provide the juiciest burgers and the coldest beer and they'll come in droves.

提供丰厚的Burgers和寒冷的啤酒,就会出现如敝屣。

The menu and service for pure relaxation around the pool with an extensive lunch and dinner menu featuring Mediterranean flavours, Pizzas, Pastas, Salads, Mezze Platters, Burgers, Steaks, Seafood and more...

菜单和服务池纯以缓和各地广泛展出地中海风味午餐和晚餐的菜单,义大利饼,pastas,沙拉,宰餐盘,的Burgers、排、海鲜和更多

By means of relevant methods and theorems in the qualitative theory of differential equations, traveling wave solution of a compound Burgers-Korteweg-de Vries equation is studied.

利用微分方程定性理论的相关方法和定理,对一类复合Burgers-Korteweg-de Vries方程进行研究,获得了方程行波解的存在性和唯一性,并给出了方程行波解的表达式,与此同时,研究了行波解的动力学行为和它们不同解的分岔。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力