波动方程

Many types of optical transmission, and here I step on the weak-guided wave fiber wave equation to study and understand the step-index optical waveguide mode, are second-order differential equations Bessel equation.

光纤传输的种类很多，在这里我只对阶跃型弱导波光纤波动方程进行研究，了解阶跃折射率光纤的波导模式，得到二阶微分方程Bessel方程。

Studying from dynamic hydraulics, in consideration of the friction impact, differential equation of motion and equation of continuity have been established, from which transient velocity equation and pressure fluctuation equation describing viscous fluid micro-vibration inside of a string have been deduced out.

从动态水力学的角度出发，建立了考虑摩擦力影响的流体运动微分方程和连续性方程，得到了具有粘滞性流体在管柱内微振动时的瞬态速度和压力波动方程。

Due to the effect of curvature of shell, the equation of motion of elastic waves in shell is much more complex than that in plate. The method of operator factorization can't be directly used to solve the equation of motion of elastic waves in shell by reducing it to the second order partial differential equations.

由于壳体曲率的影响，使得壳体的弹性波动方程比平板的运动方程复杂得多，难以直接采用算子因式分解方法，将其化成二阶偏微分方程求解。

A set of governing dynamic equations with different basic unknowns and with different hypotheses is presented. Thereafter, the 3-D non-axisymmetric governing dynamic equation is solved by means of Fourier expanding and Hankel integral transform method.

在Biot两相介质波动理论的基础上，直接用Fourier展开和Hankel积分变换技术分析三维非轴对称饱和弹性土层和饱和弹性半空间波动方程，首次得到用积分变换形式表示的，三维非轴对称饱和弹性土层和饱和弹性半空间，以饱和土土骨架位移和孔隙水压力为基本未知量的基本解。

Then, under the consideration of mixed boundary value condition, a pair of dual integral equations for the rocking vibrations of a disk on saturated grounds are obtained, which can be reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Consequently, the dynamic compliance coefficient is evaluated and numerical results are presented to portray the influence of poroelastic effects on the dynamic interaction problem.

对于刚性圆板，作者首先采用Hankel变换对波动方程进行求解，得到了该控制方程在Hankel变换域内的通解，然后由混合边值条件建立了饱和地基上刚性基础摇摆振动的对偶积分方程，并将其化为第二类Fredholm积分方程，用数值方法计算了不同频率下基础的动力柔度系数，从而考察孔隙水的存在对基础摇摆振动特性的影响。

The finite element and Newmark methods are employed to calculate the temperature field with thermal shock, and the wave effect of heat transfer implied by the hyperbolic equation is evaluated in detail.

采用有限元离散和Newmark方法计算热冲击温度场，并总结了采用二次波动方程产生的波动效应。

Wave equation, heat conduction equation and Laplace's equation are the second-order linear equations.

波动方程、热传导方程和拉普拉斯方程都是二阶线性方程。

The method is convenient to be used, especially to nonhomogeneous equations and nonhomogeneous boundary value problem.

用微分算子法给出了线性扩散方程和波动方程的通解及初值以及边值相关问题的算子解，特别是对非齐次方程和非齐次边界问题处理尤其简捷适用。

According to the neural cable model, this dissertation deduced a stable solution. Based on the lead model, the vibratory equation of electriferous lead in a static magnetic field is set up under the condition of coupling magneto-acoustic field. It is verified that the vibration in bio-tissue is proportional to with the product of the magnitude of the magnetic field, the current amplitude and the sinusoid of angle between them.

根据神经的电缆模型，论文导出直流稳态解；基于导线模型，根据洛仑兹方程和细弦上的波动方程，论文建立了磁声耦合条件下带电导线在磁场中的振动方程，导出生物组织中的振动与磁场的大小、电流的大小和磁场与电流角度的正弦值乘积成正比。

In this paper, by means of finding the solutions of Maxwells equitions which have a tensor dielectric permittivity,the wave equitions were obtained in rotation dielectric under the condition of longitudinal direct current magnetic field.

本文求解张量介质电常数条件下的麦克斯韦方程，导出了纵向场作用下旋光材料的波动方程。由于电场与磁场是互相耦合不能单独存在，因而引入了孪生标量波的概念，并证明了该标量波满足亥姆霍兹方程。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。