查询词典 wave equation

In the analysis, a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method. With different combinations of modes different nonlinear differential equations in modal coordinates were obtained. The Runge Kutta method was used to solve the equations numerically and some features of nonlinear wave vibration were discussed.

在研究过程中，首先，考虑阻尼并引入几何非线性项，建立薄壁圆柱壳的非线性波动方程，然后，采用Galerkin方法对波动方程进行转换，选取不同的模态组合，得到相应模态坐标下的非线性微分方程，最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析。

To a general KdV equation with singular curves on phase plane, we explain the reason why these non-smooth traveling wave solutions arise.Based on the bifurcation analysis, all possible traveling wave solutions have been known qualitatively.

论文的第三章考虑奇异性对非线性波动方程解的结构的影响，针对相空间上出现奇异线的广义KdV方程，详细讨论了奇异线的存在对解的结构的影响，分析系统中非光滑行波解产生的原因。

The envelope solitary wave solutions and envelope sinusoidal wave solutions of DNLS equation are obtained.

得到了DNLS方程的包络孤立波解和包络正弦波解。

Based on the wave equations of electromagnetic field, a new time-domain numerical method-direct difference solution of vector wave equation is researched. Calculating formulas of electric field and magnetic field are also given.

对电磁场波动方程进行了分析，研究了一种基于电场波动方程的时域数值方法―矢量波动方程的直接差分解法，给出了电场和磁场的计算公式。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

Week 6 Standing wave equation, quantitative analysis of standing wave quality, source of light and interference source of light.

第6周 驻波的波动方程；驻波特性定量分析；光源和相干光源。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

According to piezoelectric equation and vibration theory of quartz crystal, we studied the elastic wave＇s transmission characteristic in a AT-cut thickness-shear-vibration quartz crystal, and the frequency conditions of which quartz crystal resonator formed stationary wave in electrode district.

根据石英晶体的压电方程和晶体振动理论，研究了AT-切石英晶体厚度切变振动模式下振动频率与结构参数间的关系，以及石英晶体谐振器在电极区形成稳衡驻波的频率条件及电极区外波的传播特性。

By simulating the supersonic wave probing data with computer,an in-situ rock stress supersonic wave ellipsoid equation is achieved,the in-situ rockstress is defined thereby.

本文建立了地应力超声波检测的多元非线性计算模型，通过对声波检测参数的计算机模拟，得到地应力声波椭球面方程，从而确定原岩应力状态。

By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations.

用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。

The quality of both red and white wine depends very much on the wine maker talent and on the quality of the grapes.

他的红酒和白酒的品质，根据酿造者的能力和葡萄的质量，各有差异。

No, I don't want to get drunk before my next match.

" "不，我不想让我的下一场比赛前喝醉了。