波动方程

一维非线性弹性杆波动方程的研究

Study on One Dimension Wave Equation of a Nonlinear Elastic Rod

三维Born近似波动方程炮域叠前深度偏移

Wave equation pre-stack depth migration with 3D Born approximation in shot gathers

四阶强阻尼非线性波动方程的整体W~（k，p）解

Global W ~ ( k , p ) Solutions of Strong Damped Nonlinear Wave Equations of Four Order

两类强阻尼非线性波动方程解的blowup

Blow-up of Solutions for Two Classes of Strongly Damped Nonlinear Wave Equations

运用Potentialwell方法研究了一类四阶非线性波动方程初边值问题整体解的不存在性。

The global nonexistence of a fourth order wave equation is studied using Potential Well method . Potential depth of this problem is defined first .

利用Fourier变换求解二维波动方程Cauchy问题

Solution to Cauchy Problem in Tow-dimension Wave Equation by Using Fourier Transformation

n&DRadon变换与波动方程偏移

N-D Radon Transform and Wave Equation Migration

根据一维波动方程的拟合迭代法原理，给出了求解波阻抗σ（x）的算法。

The principle of fitting iteration method for one-dimensional wave equation was discussed , and an algorithm for calculating wave impedance value was presented .

盐丘模型VSP数据的波动方程偏移

Wave equation migration of VSP data in a salt-dome model

一类半线性波动方程Cauchy问题弱解的唯一性

Uniqueness of Weak Solution to Cauchy Problem of A Class of Semilinear Hyperbolic Equations

一类变系数线性波动方程初值问题的求解广义Cauchy判别法

The Solving Process of a Sort of Cauchy Problem of Variable Coefficient Linear Wave Equation

对偶Kirchhoff型波动方程的一致衰减解

On Uniform Decay of Solutions for the Coupled Wave Equations of Kirchhoff Type

传统的求解一维波动方程混合问题的方法是分离变量法，进而求出该问题的Fourier级数解。

The traditional method to solve the mixed problem of one-dimensional wave equation is the decoupling variable method , then one gets a Fourier series solution .

第一部分：考虑了带有非线性项u~αu的高阶波动方程的Cauchy问题。

Part ⅰ: We consider the Cauchy problem of nonlinear wave equations for higher order with nonlinear term | u | ~ α u.

本文证明了二维波动方程柯西问题在L2空间广义解的唯一性及关于初始条件的稳定性。

In this paper , we prove the uniqueness and stability of generalized solution of Cauchy problem of wave differential equation .

采用有理谱逼近的方法对线性波动方程Cauchy问题进行研究。

This paper adopts the method of spectral approximation to study the problem of Cauchy of linear evolution equation .

用Jacobi椭圆函数展开法求解非线性波动方程（组）

Applications of Expansion Method about the Jacobi Elliptic Function to Several Nonlinear Wave Equation ( s );

λ&阶导数与波动方程的Cauchy问题（0<λ<1）

Derivative of λ & th order and Cauchy 's Problem for Wave Equation ( 0 < λ < 1 )

考虑来自机械振动中称为Maxwell模型的一维拟线性波动方程的一类非局部初边值问题。

Considers a non-local initial-boundary value problem for the one-dimensional quasi-linear wave equation originated from the mechanism so called Maxwell model .

本文给出组成关系的E、B表示，导出运动介质中的波动方程及场量E、H纵分量满足的方程。

The E , B representation of constitutive relations are given , the wave equation in moving medium and the equations which the longitudinal components of field quantities E , H satisfied are derived .

首先，从波动方程出发讨论了散射P、SV波的相移和反射场中P波的质点运动；

Firstly , the phase shifts of scattered p , SV waves and the motion of the particles in the reflected field of p waves are discussed on the basis of wave equations .

本文用波动方程反时偏移法实现了变速介质中VSP资料的波动方程偏移归位。

An algorithm for wave equation reverse time migration of VSP data in variable velocity medium is presented in this paper .

关于非线性波动方程的Cauchy问题，在近几十年来有着非常活跃的研究，涌现出不少成果。

As for the Cauchy problems , there has been an active research in the past decades , flowering out scores of achievements .

二维弹性波动方程F-K分离

F-K decomposition of 2-D elastic wave equation

首先，利用Hankel积分变换方法，直接对频域内的Biot波动方程进行求解，得出Biot波动方程的通解；

The general solutions of the Biot dynamic equations in frequency domain are established through the use of Hankel integral transforms technique .

波动方程Maslov射线解的有限差分计算

An finite-difference calculation of Maslov asymptotic ray solution for wave equation

修改后的Stokes粘弹性波动方程所描述的介质相当于开尔芬体，可以利用它研究地震波在大地中的传播过程。

The medium described with modified Stokes viscoelastic wave equation is a Kelvin solid , which can be used to study the propagating of seismic wave in earth media .

三维波动方程P-R分裂偏移

3D P-R splitting migration

以圆杆波导为研究对象，考虑了由应力应变关系导致的物理非线性、横向惯性、横向剪切效应共同作用下的非线性波的传播，利用Hamilton变分原理导出了非线性纵向波动方程。

A new nonlinear wave equation in nonlinear circular-rod waveguide taking account of the nonlinear constitutive relationship and transverse inertia and shear effects is derived by means of Hamilton principle .

所建立的三相介质波动方程可以退化到经典的Biot波动理论方程的简化形式，这验证了该方程的合理性。

The established three-phase wave equations can be reduced to the simplified form of Biot wave theory equations , which verifies the rationality of our equations .