查询词典 long wave

The auxiliary equation is directly applied to solve the (2+1)-dimensional dispersive long wave equations and the solitary wave solutions and triangular periodic wave solutions are obtained.

利用该辅助方程直接求解了(2+1)维色散长波方程，结果获得了一些孤立波解和周期解，其中包括一些新解。

PartⅡ,Applying the developed and extended direct algebraic methods that presented in recent years and based on the 2+1 dimensional variable separation solutions,abundant Jacobi elliptic function doubly periodic waves and periodic propagating wave patterns for many 2+1 dimensional nonlinear wave models are obtained,and in long wave limit solitary waves are derived as well.

第二部分，本文拓展和推广(来源：a2AB7aC论文网www.abclunwen.com)了新近发展的几种典型的直接代数方法和基于分离变量解的间接方法，获得多个2+1维非线性波动模型丰富的雅克比椭圆函数双周期波解和周期传播波模式，并得到长波极限情形下存在的非线性孤立波。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

For different economic systems, the span of a long wave are likely different, and the expectancy period of a long wave is about 50 year.

这种现象是由经济系统的一种内在的作用力所导致的。

Based on the understructure of the theory of economic long wave we had, this paper brought forward believable concept about the economic long wave.

本文在对经济长波理论总结的基础上，给出了一个令人信服的经济长波概念。

First, experimental datum is analyzed and it is found that the shallow water ocean internal wave spectrum is different from that of the deep ocean GM spectrum. Then, the theory of weak turbulence is systematically summarized, and Lvov and Tabak's method of obtaining the deep ocean internal wave spectrum is introduced. They applied the theory of weak turbulence to internal waves of long wave length and found that GM spectrum maybe obtained theoretically.

首先，基于海洋实验数据分析了浅海内波谱特性，指出它与深海GM谱不同；接着，系统地总结了Zakharov等人发展的基于波-波相互作用的弱湍流理论，对文献中没有给出推导的一些关键性公式进行了细致的推导，并讨论了Kolmogorov-Zakharov谱在海洋内波研究方面可能的应用；最后，总结了Lvov和Tabak对于深海GM谱的弱湍流理论解释；介绍并细致推导了Madja、Mclaughlin和Tabak(1997)提出的一维MMT模型及其特性。

May issue a short-wave, medium wave, long wave UV and visible wavelengths of light radiation in four.

可发出短波、中波、长波紫外线和可见光四种波长的光辐射。

The dike-break long waves cause great damage to polder, and then it is a significant subject for studying the dike-break long wave. It is significant of research for the propagating of the dike-break wave.

河堤溃决后的溃堤波会对圩区造成很大的危害，对溃堤波的研究是一个重要课题，研究其演进过程具有重要意义。

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。

A long-lasting hair wave produced by applying a chemical lotion to the hair while wet, winding the hair on rollers, and drying it with heat.Also called permanent wave

烫过的头发：用化学物质涂在湿头发上并将头发绕在卷轴上，然后加热烘干而成的长久保持的卷发也作 permanent wave

The physiology of the skin machine body for the sake of the environment in the maintenance stability, but eject a body metabolism creation of metabolism thing BE'grease', summer perspire many various skin disease light or good, autumn perspire little metabolism thing metabolism don't go out, various skin disease made, this be the skin machine body of various burning disease.

皮肤机体的生理为了维持内环境稳定，而排出身体代谢产生的代谢物是'油泥'，夏天出汗多各种皮肤病就轻或好了，秋天出汗少代谢物代谢不出去，各种皮肤病就犯了，这就是皮肤机体的各种炎症。

If I had anything tender in me, I shot it dead.

如果我有什么招标的话，我枪死亡。