By making use of the Vlasov distribution theory and the three dimensional wave equation of waveguide modes, the dispersion relation of scattered waves in Compton region is deduced.
利用电子束的弗拉索夫分布函数理论和三维波导模的波动方程求得在康普顿区域中的散射波色散关系。
This is what we now call the equation of continuity, one of the relationships necessary for the derivation of the wave equation.
这就是我们现在所说的连续性方程，推导波动方程的必要条件之一。
Using step surface data for wave equation simulation of seismic data can produce serious interference at corner points of steps and further affect the results of numeric simulation.
利用阶梯状地表数据对地震记录进行波动方程模拟时，在阶梯的角点处会产生严重的干扰，进而影响数值模拟结果。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
The steady solution and its stability of Nonlinear Schrdinger Equation (NLSE) are studied by means of traveling wave transformation and bifurcation theory.
用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性。
From the wave equation description the wave motion of substantial particles in microcosmic system, it scan ana lysis that wave function has two forms: real function and complex function.
由描述微观体系实物微粒运动的波动方程解得的波函数有实函数和复函数两种形式。
The purpose of migration is to inversely solve for the singularity (interrupted surface of interval velocity) of wave equation coefficient.
偏移的目的是要反演波动方程系数的奇性(层速度的间断面)。
This paper discusses the boundary value problem of the nonlinear wave equation with damping.
本文讨论有阻尼的非线性波方程的边值问题。
We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.
研究具非线性耗散项的强迫拟线性波动方程的初值问题。
After considering the interaction between electrons, the problem of a semiconductor interacting with light is discussed and the equation of exciton polarization wave excited by light wave is obtained.
考虑到电子空穴间的相互作用，我们讨论了光波与半导体的相互作用，得到了描述光激发电子空穴极化波的方程。
Gaussian beam is the asymptotic solution of wave equation concentred at the central ray.
高斯束是波动方程在特定射线附近的高频渐近解。
We present a method for constructing one-way wave equation with the use of a parameter that is related to the Angle of wave incidence.
本文通过引入一个与波的入射角度有关的参量，给出一种单程波动方程的构造方法。
In numerical wave simulation of finite difference for acoustic wave equation, due to the limitation of computer model, there inevitably exists strong artificial boundary reflection.
在声波波动方程有限差分波场数值模拟中，由于计算模型的限制，导致很强的人为边界反射的产生。
Concluding the wave resistance equation of steel spring and making foundation for the wave theory modeling and practical application of steel spring.
推导了钢板弹簧不同传递波的波阻公式，为钢板弹簧的波动理论建模及实际应用提供参考。
The exponent decay of solution of wave equation with boundary memory is obtained by the energy method.
本文利用能量扰动法得到具边界记忆项波动方程初边值问题解的指数衰减性。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
In the numerical simulation of the wave equation, to develop an absorbing boundary condition in the finite domain is a very important problem.
在地震波传播的数值模拟中，在有限区域建立吸收边界条件是一个很重要的问题。
The equation of displacement wave and sound pressure wave in the sound velocity experiment are derived. And their relation is analyzed.
推导了声速测定实验中合成声场的位移波动方程、声压波动方程以及两者之间的关系。
It is a difficult point to teach the students solving the wave equation on finite interval by the reflection law of the wave.
用波的反射原理求解有限区间上的波动方程是数学物理方程中的基本内容，也是教学中的难点内容。
Some nonclassical potential symmetry generators and group-invariant of heat equation and wave equation were determined.
主要研究了热方程与波方程的非古典势对称群生成元及相应的群不变解。
Using the harmonic oscillator model of quasicrystal of liquid, the wave equation describing the motion of liquid molecules has been derived.
用液体的准晶态的谐振子模型，导出描述液体分子运动的波动方程。
Using the theory of wave propagation, one-dimensional wave equation and inverse problem of damaged medium was established and analyzed.
利用波传播理论，建立损伤介质的一维波动方程及反问题分析理论。
The high-order difference method of wave equation has the advantages of high accuracy and small numerical dispersion.
波动方程高阶差分法具有精度高、数值频散小的优点。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
In this paper the functionally invariant solution of the wave equation of anti-plane problems in the orthotropic material is obtained.
本文给出了正交异性材料反平面间题波动方程的函数不变解。
The studying results show that the classical elastic wave equation of spherical wave is only true for fixed amplitude phase and described only kinematic equation of phase velocity.
研究揭示经典的球面波波动方程只对固定振幅相成立，即只描述了相的运动方程，其波速为相速度。
Introducing the complex viscoelastic modulus, visco-elastic wave equation has the similar form with elastic wave equation for harmonic wave motion, in case of linear viscoelastic.
在线性粘弹性假设条件下，通过引入复弹性模量，使粘弹性波动方程具有和弹性波动方程类似的形式。
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。
In this paper, for solving the parameter problem of two dimensional wave equation, the method of Finite Element and the Pulse Spectrum Technique, i. e. the iterative process are used.
本文针对求解二维波动方程的参数问题，利用有限元方法把波动方程反问题转化为有限元反问题，并利用脉冲谱技术，即一个迭代过程进行求解。
In this paper, for solving the parameter problem of two dimensional wave equation, the method of Finite Element and the Pulse Spectrum Technique, i. e. the iterative process are used.
本文针对求解二维波动方程的参数问题，利用有限元方法把波动方程反问题转化为有限元反问题，并利用脉冲谱技术，即一个迭代过程进行求解。
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