查询词典 transformation equation

By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

摘 要：利用文献中提出的求非线性波方程尖峰孤子解的方法，分别求解了两个重要的非线性波方程—Korteweg-de Vries 方程和Benjamin-Bona-Mahony BBM）方程，得到了3类尖峰孤子解；借助双曲函数与三角函数间的变换关系得到了1类尖峰紧孤子解，该型解兼有尖峰孤子解和紧孤子解的特点；在上述结果的基础上构造了2个周期性的尖峰行波解。

Starting from the classical motion equation of a domain wall in the ferromagnetic system, the analytic wavefunction was obtained by using canonical quantization method and unitary transformation .

从铁磁畴的能量方程出发，利用正则量子化方法和么正变换技术，解析地求得了磁畴量子化运动的波函数。

At first, we give the more precisely expression of the system in some sufficiently small neighborhood of the saddle point under some suitable transformation, and use the foundational solutions of the linear variational equation of the unperturbed system along the homoclinic or heteroclinic orbits as the demanded local coordinate system.

首先，我们在鞍点的充分小邻域内给出系统在适当的变换下的更加精确的表达形式，利用未扰系统沿同宿，异宿环的线性变分方程的基本解组作为系统在同宿，异宿环的小管状邻域内的新的局部坐标系。

Using the principles of transformation matrix and vector operation, the trajectory equation of cutting edge relative to workpiece is derived.

摘 要：运用图形矩阵变换原理和矢量运算法则，推导出了立铣刀周铣过程中刀具切削刃上任意点相对于工件运动的轨迹方程，在此基础上构造出一种基于工件网格划分的三维表面形貌仿真算法，并给出了相应的仿真算例。

N-soliton solutions is constructed in the terms of Wronskian and is verified by direct substitution to satisfy the bilinear equation and the associated B〓cklund transformation respectively.

得到了该方程的双线性形式以及B〓cklund变换的双线性形式及普通形式；构造了该方程Wronskian形式下的孤子解，并从双线性方程和双线性B〓cklund变换两个角度对解进行了直接验证。

In this paper the process equation of Van der Waals polytropic process is derived and energy transformation of Van der Waald Gas in the Thermodymic procss is discussed.

导出了范氏气体多方过程的过程方程，并讨论了范氏气体的热容量，多方指数及在各热力学过程中的能量转化情况。

This dissertation makes horizontal well and symmetric multibranch horizontal wells as research object, according to reservoir characteristics and the seepage process of horizontal well, using multidisciplinary knowledges comprehensively including reservoir geology, reservoir seepage theory, point source function, Green function, conformal transformation, partial differential equation and computational mathematics et al, then researches theory and method suitable for describing seepage process and productivlty calculation of horizontal well.

本文以水平井和对称多分支水平井为研究对象，从油气藏的储层特征和水平井的渗流过程出发，综合运用油气藏地质、油气藏渗流理论、点源函数、Green函数、保角变换、偏微分方程及计算数学等多学科知识，研究出适合于描述水平井渗流与产能计算的理论与方法，主要取得了以下成果

This paper studies the global topological structure of a kind of plane homogeneous fifth system with three special direction Suppose the system has are only one finite singular point (0,0), then we can assume b50=0, which special directions are determined by equation G=0, introduce Poincare transformation to discuss infinite singular points, according to the coefficient conditions, list all possible infinite singular points and special directions, judging their type, drawing out all kinds of phase portraits when it has three special direction.

研究了一类平面齐五次系统当其只有唯一的有限远奇点且具有三对特殊方向时的全局拓扑结构及系数条件。假设系统只有唯一的有限远奇点(0，0)，不妨设b50=0其特殊方向由示性方程G=0给出，引进poincare变换研究无穷远奇点，再根据定理中的系数条碎，列出系统所有可能的无穷远奇点和特殊方向，并判断其类型，由此画出系统具有三对特殊方向时的全局相图。

Secondly, European option pricing problem is discussed when price of stocks follows geometric Brown motion and return of stocks follows Ornstein-Uhlenbeck process. Using Arbitrage-free principle, we give a partial differential equation with which option price is satisfied and using Fourier inverse transformation, the closed-form solution to European Call option pricing formula is given.

其次，讨论了股票价格服从几何布朗运动，股票收益服从Ornstein-Uhlenbeck 过程的欧式期权定价问题，利用无套利原理给出了期权价格满足的偏微分方程，并运用傅立叶逆变换，求出了欧式看涨期权定价公式的封闭解。

In the second part, we make the study of the application of Z-transformation when we solve linear difference equation bearing constant coefficient and transmission function in pulsing system.

第2部分：&Z变换的应用&，主要通过上1章研究的Z－变换的逆变换和10个性质定理，研究了Z－变换在求解具有常系数的线性差分方程和脉冲系统的传递函数方面的应用。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。