波动方程

From the elastic property of solid and wave equation, the surface acoustic wave has been introduced.

摘要从固体的弹性性质和波动方程出发，阐述了声表面波的基本性质。

Based on the second- and fourth-order compact difference formulas for second-order derivatives and the idea of weighted average, two classes of the alternating direction implicit method are proposed for solving two-dimensional wave equation. The methods are of accuracy O (T^2+h^4) and O (T^4+h^4) respectively. Stability conditions are obtained by Fourier analysis method.

基于二阶微商的四阶紧致差商逼近公式及加权平均思想，提出了数值求解二维波动方程的2种精度分别为O(т^2+h^4)和O(т^4+h^4)的交替方向隐式格式，以及与其相匹配的第一个时间层的同阶离散格式，并且通过Foulier方法分析了格式的稳定性。

This paper was concerned with a one-dimensional linear wave equation associated with nonlinear boundary conditions.

文章里证明了一类一维线性波动方程，在非线性边界条件下，存在唯一的局部解。

The many exact solutions, such as, trigonometric function, solitary pattern solutions, solitary wave solutions, Jacobi and Weierstrass elliptic function solutions are given by the auxiliary equation method.

近来，随着计算机技术的发展，关于孤立波的研究越来越多的依赖于计算机软件的应用，随之产生了一系列求解非线性波动方程的新方法，并且这些方法逐渐的被应用到离散的非线性微分—差分系统中来研究离散系统的孤立波问题。

Stability is one of the basic problems for numerical solution of wave equations.

稳定性问题是数值求解波动方程的基本问题。

The basic solution of the equations is gained.

求得了波动方程的基本解，并进行了实例计算分析。

Tests using model data and field data, and CFP-AVP analysis all proved the validity and practicality of amplitude-preserved processing method based on bifocal version of CFP technology.

模型试算和实际数据试处理以及CFP-AVP分析结果都表明了基于射线理论和基于波动方程波场延拓理论的双聚型CFP保幅处理方法的有效性和实用性。

Low regularity well-posedness for the Cauchy problem of some nonlinear wave equations was studied.

研究一类非线性波动方程的柯西问题的低正则适定性。

The relations between the parameters of the saturated porous micropolar theory and those of the corresponding one_phase medium are established by means of the Greetsma theory. It has merits that the physics parameters in our dynamic equations of the saturated porous micropolar medium have a definite physics meaning and are easy to be tested in laboratory.

借鉴Greetsma理论，建立了饱和多孔微极介质弹性本构方程力学参数与相应单相介质弹性参数的相互关系，使饱和多孔微极介质弹性波动方程中的物理参数具有明确的物理意义，易于在试验中确定。

By combining the theory of aerodynamics with water hammer equation and wave equation of surge tank a mathematical model for this type of surge tank is established.

为研究制气式调压室的运行机制，运用空气动力学原理，结合管道水锤方程、调压室波动方程，建立了制气式调压室的仿真数学模型。

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。