在二阶近似下，有线性平面波解。
Under the approximation of second degree the solutions contain linear plane waves.
对于P波解，可以按照类似的方法进行论证。
We can follow a similar line of argument for the P-wave solutions.
得到了该方程的包络孤立波解和包络正弦波解。
And the envelope solitary wave solutions and envelope sinusoidal wave solutions have been obtained.
文中给出一长椭球介质人头模型中的电磁场全波解。
This paper presents a full wave analysis of electromagnetic (EM)field distribution inside a dielectric prolate spheroidal human head model.
在自由粒子的情况下给出了粒子的平面波解和球面波解。
The plane wave solution and spherical wave solution to free particles are also given.
得到了环上的有色散项的分子晶体模型的椭圆函数波解。
An elliptic function wave solution of the molecular crystal model with the dispersion term on a ring is found.
将基于两层流假定下的两种水面条件内波解进行了对比。
The paper studies the character of dispersion relations of two internal wave solutions with different water surface condition in two-layer fluid.
基本的方法是以双曲型偏微分方程组的简单波解为根据的。
The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.
指出一维单原子链的格波解是由于采用了循环边界条件的结果。
The lattice wave solution of single atomic chain only results from the cyclic boundary condition.
本文分别对三类非线性耦合方程组求解，得到了系统的孤波解。
In this paper, three classes of coupled nonlinear equations are solved respectively, and we obtain solitary wave solution of systems.
等的抽象理论，通过谱分析，证明了该孤立波解是轨道稳定的。
By using the abstract results of M. Grillakis et al and careful spectral analysis, we prove that the stability of the solitary waves is orbital.
本文利用全波解方法研究了低纬哨声通过低电离层传播的过程。
In this paper the transmission property of low latitude whistlers through the lower ionosphere has been investigated by means of full wave technique.
用行波方法得到了这些方程的显式精确解，即有理分式型孤立波解。
The exact and explicit solutions of these equations are obtained by using the travelling wave method. These exact solutions are solitary wave solutions of a rational type.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
引入双参数变换求出了一个非线性方程的显示孤波解，方法简便，便于应用。
By introducing double parameter transformation, the explicit solitary wave solutions for a nonlinear equation are obtained.
用这种方法得到的新的类周期解在极限条件下可以退化为类孤立波解或类冲击波解。
And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition.
一种特殊类型的、和线性弹性理论中的平面波解有点相像的非稳态运动可以建立起来。
A special type of unsteady motions which bear a resemblance to plane wave solutions of the linear theory of elasticity can be constructed.
研究和分析有阻尼单摆的运动方程，应用近似法方程时发现存在冲击波解并精确求解。
Studying the equation of motion of damped simple pendulum, the shock wave solution is found.
在的条件下，求出了某一类低涡的孤立波解，然后将它同一般低涡的孤立波解进行比较。
Under the condition of, solitary wave solution is obtained to a type of vortex, which is then compared with the one to the general vortex.
利用微分方程解的几何定性理论，直接得到该方程存在有限振幅的周期波与孤立波解的存在条件。
Conditions for the existence of solutions to periodic and isolated waves of limited amplitude are directly obtained based on qualitative geometric theory for ordinary differential equations.
以一维单原子链为例，对晶格振动的行波解和简正坐标进行了分析和讨论，给出了一种新的格波解。
The plane wave solutions and ortho coordinates of lattice vibration are analyzed. A new solution is given.
随后，我们利用拟解方法给出飞秒啁啾类孤波解的解析表达式，并讨论该解在光纤系统中的传输特性。
Then, based on the fundamental equation, we present the chirped femtosecond soliton-like solution by ansatz method and discuss the transmission property of the soliton-like solution in optical fiber.
文摘：本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
Abstract: The properties of solitary wave solution to multidimensional regularized long wave equations is discussed and one of its solitary wave solution is obtained by direct integral method.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
在积分常数为零的条件下，证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解。
When the integral constant is zero, the existence of smooth solitary wave solutions, uncountably infinite, many smooth periodic wave solutions, and kink and anti-kink wave solutions are proved.
文中还通过对一个算例和简单波解的讨论指出了复合材料波所具有的一系列不同于各向同性材料中波的性质和物理现象。
The simple wave solutions are also obtained and discussed in detail. The results show that there exist a number of characteristic properties and physical pheno…
本文结出了描述光纤中受激喇曼散射过程的方程，通过对这些方程的讨论，得到了在稳态受激喇曼散射过程中可以存在弧波解的结论。
The equations of SRS in optical fiber are given. The equations are discussed and a conclusion that the solitary waves can exist in the process of steady state SRS is obtained.
印第安公主波卡·洪塔斯的婚礼现场是长期困扰学者的未解之谜，考古学家小组深信他们发现了当年的婚礼现场遗址。
A team of archaeologists believe they may have finally discovered Pocahontas' wedding site, a mystery that has long vexed scholars.
印第安公主波卡·洪塔斯的婚礼现场是长期困扰学者的未解之谜，考古学家小组深信他们发现了当年的婚礼现场遗址。
A team of archaeologists believe they may have finally discovered Pocahontas' wedding site, a mystery that has long vexed scholars.
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