精确解

According to the theory of first-order Born approximation,a Fourier Domain Optical Coherence Tomography model of single scattering infinite narrow beam is established,and the reason why it is hard to obtain the exact solution of integrated scattering equation is analyzed.

选择多层介质作为样品，根据波恩一阶近似理论建立了单次散射的无限细直光束频域OCT模型，并分析了散射积分方程很难得到精确解的原因。

The exact energy flow pattern on the axis of a circular disk by transient excitation is presented.

摘要本文给出了在瞬态均匀电流分布激励下，圆盘轴线上能量衰减的精确解。

By means of the complex variable function method and introducing the conformal transformation,the plane elasticity problem about static crack of a finite width strip with a single edge crack is analyzed further and the exact solutions to the SIFs are found out and generalized to dynamics.

利用复变方法，通过构造适当的保角映射，分析了有限宽单边裂纹带中静态裂纹的平面弹性问题，给出应力强度因子的精确解，并将其推广到动力学。

By means of the complex variable function method and introducing the conformal transformation,the anti-plane shear problem about two semi-infinite collinear cracks in one-dimensional hexagonal quasicrystals was investigated and the exact solution to mode Ⅲ SIFs was found out.

利用复变方法，通过引入适当的保角映射，研究了一维六方准晶狭长体中双半无限共线裂纹的反平面剪切问题，给出了Ⅲ型裂纹问题的应力强度因子的精确解。

The accurate solution of linear equations could be expressed linearly by the conjugate vector base, and the iterative strategy was used to construct the conjugate vector base groups and the corresponding coefficient. The constructed conjugate vector base groups were proved to be conjugated.

线性方程组的精确解能够由共轭向量基线性表示，利用迭代的方式给出了构造共轭向量基以及对应系数的方法，证明了算法所构造的向量基的共轭性。

In chapter 3, homogeneous balance method is used to deal with some problems of finding solutions of higher dimensional nonlinear evolution equation . By improving some key procedure of the method, the original equation is reduced to a linear equation , hence a great number of exact solutions for this are obtained.

第三章利用齐次平衡法研究了一些高维非线性演化方程和方程组的求解问题，通过对该方法的某些关键步骤的处理，将原方程转化为一线性的微分方程，从而获得了这些方程大量的多种精确解。

We obtained a new (2+1)dimensional variant Bousinessq equation with its Lax pair.

然后构造了Lax对的达布阵并利用达布变换成功的获得了变形Bousinessq方程的精确解。

A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.

摘要研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；计算了极化算符的本征函数。

Chapter 2 introduces the basic theories of AC = BD and pseudo-differential division with remainder, as well as the construction of exact solutions of differential equations under the instruction of the theory of AC = BD.

第二章介绍本文的理论基础：AC=BD理论和微分伪带余除法，并且阐述在AC=BD这一理论框架下的微分方程精确解的构造问题。

In order to test the efficient and possibility of the method, main vibration features about space double layer has been calculated based on this method, comparing this with the precise solution of finite element method,...

为检验这种方法的有效性和可行性，用这种方法计算了空间双层子结构的主要振动特性，并将所得结果与有限元精确解进行对比，表明了这种方法不仅适用于简单对接情况也适用于高度赘余连接的情况，并且具有良好的综合精度。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。