波的传播

Although the Preissman scheme of KP equation is multisymplectic, it took too efforts to realize, Hence we elimate the auxiliary variable by a trivial computation and obtained the multisymplectic forty-five points scheme of KP equation. And then, we test this forty-five points scheme on soliton and solitary waves over long time intervals, the numerical results shows the propagation and interact of soliton and solitary waves.

但是在实际的数值实验中，由于需要计算共轭动量的值，Preissman格式需要占用的计算内存比较大，计算时间比较长，因此我们在数值格式中消去共轭动量，最后得到与多辛Preissman格式等价的一个多辛45点格式，我们用这个格式进行了数值实验，数值实验结果很好地显示了孤立子和孤立波的传播与碰撞。

Compared with the same wave problems with conventional Dirichlet boundary conditions, the absorbing boundary conditions can reduce the numerical reflection on boundaries and avoid solution distortion. In addition, the central differences method is economic in memory requirement and computing time compared with implicit integral method.

结果表明：该解法在空间上具有谱精度，在时间上达到二阶精度；与第一类边界条件相比，吸收边界有效地削弱了边界上的数值反射，避免了解的失真；使用中心差分的时间积分方法同隐式积分方法相比，适合波的传播特性，避免了矩阵求逆运算，并且占用的计算机内存小。

The spread of the periodic wave, the advantage and disadvantage of the solid dynamic theory, the orderly system and the disorderly system physics; It also discuss the classification of the phase transformation and the division between the quantum method and the classical method in the condensed matter physics; and also point out the major developing trend of the present condensed matter physics.

对周期波的传播、固体能带理论的优缺点以及有序体系和无序体系的物理学；相变分类、凝聚态物理中量子方法与经典方法的界定进行了讨论，并指出了凝聚态物理发展的主要方向。

This dot product value will be the same for all vertices that are on the same line perpendicular to the wave's direction.

对于在波的传播方向上一直线上的所有顶点来说，这个点乘值是相同的。

In this paper,using the theory of planar dynamical system and the method of Jacobian elliptic function,the generalized Boussinesq equation is studied.

1引言非线性Boussinesq方程在物理学和流体力学领域是一个非常重要的数学模型，主要用于描述在弱非线性条件下和弱介质中的波的传播[2-7]。

Every link of source shot, wave spread, geophone receiving and seismic recording all has influence to the data fidelity.

震源的激发、波的传播、检波器的接收和仪器记录各个环节对地震信息的保真度都有影响。

From many experiments conducted by the author on the dynamic behavior of soil inrecent years it has been found that the propagation velocity of elastic wave,shear modulus andthe coefficient of subgrade rigidity in homogeneous soil tends to vary with depth.

近几年来，作者在对土的动性能所作的多次实验中，发现匀质土中弹性波的传播速度、剪切模量、地基抗压刚度系数有随土层深度而变化的现象。

In this paper, a dynamic photoelastic method is applied to investigating the stress wave propagation of projectile ogive under impact load, the dynamic stress state is analyzed, and the dynamic stress values are obtained by applying stress optics law.

用动光弹实验方法研究了冲击荷载作用下穿甲弹风帽模型的应力波的传播过程，对其受冲击后的动应力状态进行了分析，用应力光学定律得到了模型内的动应力值。

Due to the generation and propagation under the sea surface, regular marine observations cost a lot and are usually difficult to carry out because of the environmental limitations.

内波的传播可以导致湍流和混合，是海洋能量输送的一种途径，并影响局部海域的水交换、沉积和再悬浮。

Based on finite difference method coupled with the famous elastic-plastic cap model of rock, numerical simulation and analyses for the propagation and evolution mechanism of 1 D detonated wave are done.

岩石爆轰波的传播、演化过程是极其复杂的，其影响因素较多，如地形、地质条件以及物理力学参数、爆破的种类和方法、爆源的大小和形状等。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。