This is what we now call the equation of continuity, one of the relationships necessary for the derivation of the wave equation.
这就是我们现在所说的连续性方程，推导波动方程的必要条件之一。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
Thus what is now called the wave equation in one spatial dimension appears for the first time.
这样一来现在称为一维的波动方程就第一次出现了。
Alternatively, one may utilize the wave equation and appropriate boundary conditions to yield a specific solution.
另外，我们也可以利用波动方程和适当的边界条件以得出一个特解。
In this paper, moment method is used to deal with the first boundary value problem of one dimensional wave equation with stochastic initial and boundary conditions.
本文使用矩方法处理了具有随机初始条件的一维波动方程的第一边值问题。
This paper is to study how the lengths of foundation piles influencing driven piles by one dimensional wave equation.
应用一维波波动方程式探讨基桩长度对打击桩的影响。
Wave equation method is one of the fundamental techniques for seismic modeling and imaging.
波动方程方法是地震模拟和成像的基本方法之一。
As one of the soliton equations, long wave equation takes on profound significance of theory and reality.
长水波方程作为一种孤子方程具有很强的理论和现实意义。
The pseudo-spectrum method uses Fourier transform and finite difference to solve wave equation. It is one of the important methods used to simulate the seismic wave field.
伪谱法利用傅立叶变换和有限差分求解波动方程，是三维波场正演模拟的重要方法之一。
We present a method for constructing one-way wave equation with the use of a parameter that is related to the Angle of wave incidence.
本文通过引入一个与波的入射角度有关的参量，给出一种单程波动方程的构造方法。
The application of such one-way wave equation to exploiting WIMIG module for migration is described finally.
最后给出了构造的单程波动方程在开发常规WIMIG偏移模块中的应用。
Using the theory of wave propagation, one-dimensional wave equation and inverse problem of damaged medium was established and analyzed.
利用波传播理论，建立损伤介质的一维波动方程及反问题分析理论。
Although one can get full acoustic wave data using acoustic wave equation for seismic modeling, the data are difficult to interpret for the multiples.
利用全声波方程进行地震波场的数值模拟，虽然可以计算全声波波场值，但是也常常会出现层间多次波，给资料解释造成一定的困难。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Using true-amplitude one-way wave equation, the energy loss by geometric diffusion can be compensated.
采用真振幅单程波动方程进行计算，补偿了几何扩散造成的能量损失；
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。
Since the one way wave equation modeling scheme can be considered as the inverse depth migration, we can use the current depth migration schemes and its codes.
单程波算法可视为深度偏移的“逆运算”，这样可以很好地借用已知的深度偏移方法及其程序系统。
According to the operating mode of the rod string in slant straight Wells, the authors establish a one-dimensional damped wave equation for the rod string.
根据斜直井抽油杆柱工况特点，建立了斜直井抽油杆柱的一维有阻尼波动方程。
Reverse time migration (RTM) is more applicable for the imaging of complex structures than one-way wave-equation migration and Kirchhoff integral migration.
逆时偏移比单程波波动方程偏移和克希霍夫积分偏移更适于复杂构造成像。
Starting from one-order wave equation, we derived boundary conditions under ragged surface.
从以速度-应力表示的一阶波动方程出发，导出了起伏边界情况下的边界条件。
This paper presented a new method of generating synthetic, seismograms of wave theory in frequency domain and gave the diffraction equation in frequency domain, which is equivalent to Kirchhoff one.
本文提出一种新的方法，在频率域中制作波动理论的合成记录，给出了与克希霍夫绕射波方程等价的频率域中的绕射波方程。
This paper performs one-way wave decomposition for 3d wave equation, and 2 kinds of high approximation of up-going wave equation in low order differential equation system are derived.
对三维波动方程做单程波分解，给出了用低阶偏微分方程组逼近上行波方程的2种高阶近似表达式。
The author puts forward the layer-by-layer inversion method for one-dimensional wave problem, which is based on the gradient regularization(GR)method for wave equation inversion.
本文在求解波动方程反问题的GR（梯度正则化法）方法基础上提出一种一维波动问题的分层反演方法。
The 3-D wave equation prestack depth migration is one of the most important techniques in the structure imaging and the inversion of elastic parameters of complex media.
三维波动方程叠前深度偏移是复杂介质中进行构造成像、弹性参数反演的重要环节。
Zheng Y, Wang Y, Chang X, Yao Z, 2016, Eliminating Migration Artifacts in Angle Domain Based on One-way Wave Equation Migration of Multiples, Chinese Journal of Geophysics, accepted.
郑忆康，王一博，常旭，姚振兴，2016，单程波角度域内压制多次波偏移假象，地球物理学报，已接收。
Based on P-wave one-way wave-equation, the paper gave P-SV converted wave one-way wave-equation.
本文以纵波的单程波方程为基础，给出了转换波的单程波方程。
The One-Way Wave Equation Prestack Depth Imagimg operators in the hybrid domain are developed into the software and the processing sequence is built.
利用单程波动方程炮道集叠前深度偏移方法，建立了相关叠前深度偏移处理流程；
The One-Way Wave Equation Prestack Depth Imagimg operators in the hybrid domain are developed into the software and the processing sequence is built.
利用单程波动方程炮道集叠前深度偏移方法，建立了相关叠前深度偏移处理流程；
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