主要分析一维拟线性波方程的解的间断性。
The characteristic method is applied and the weak discontinuous solutions of homogeneous quasilinear wave equations are discussed.
若从弹性波方程出发，则可考虑面波能量。
If we start with elastic wave equation, surface wave energy can be considered as well.
本文讨论有阻尼的非线性波方程的边值问题。
This paper discusses the boundary value problem of the nonlinear wave equation with damping.
本文讨论渐近线性强迫波方程周期解的存在性。
In this paper we discuss the existence of solution of an asymptotically linear wave equation.
证明了耗散孤立波方程的惯性分形集的存在性。
The existence of the inertial fractional set is proved for the dissipative soliton equations.
研究了含弱阻尼和源项的非线性波方程初边值问题。
The initial boundary value problem of the nonlinear wave equation with the weak damping term and a source term was studied.
利用乘子法研究了带有变系数的波方程的反馈镇定问题。
Using the multiplier method, we study the boundary feedback stabilization of the wave equation with variable coefficient.
利用基于波方程和自相关的测量方法鉴别运动模糊距离。
The measurement method of blur extent identification based on wave equations and autocorrelation function is used.
本文还讨论了波方程的奇点、等离子体波与电磁波的耦合。
The singular point of the wave equation and the coupling between the plasma waves and the electromagnetic waves are discussed.
本文给出了神经波方程的闭理想解法并且讨论了它的孤立子解。
This paper presents a closed ideal solution to the nerve wave equation and also discusses its soliton solution.
利用耦合波方程理论分析其工作原理，计算机模拟其耦合过程。
The working principle is theoretically analyzed by the coupling wave equation and the coupling procedure is simulated by the computer.
本文以纵波的单程波方程为基础，给出了转换波的单程波方程。
Based on P-wave one-way wave-equation, the paper gave P-SV converted wave one-way wave-equation.
在适当的条件下，较简捷地得出了这两类非线性波方程的近似解。
Under appropriate conditions, the approximate solutions for two nonlinear wave equations are obtained simply and conveniently.
阐述了弹性波波动方程、匀质半空间和成层半空间的瑞利波方程；
This article elaborated elastic-wave equations, inferred heterogeneous layered half-space and space-Rayleigh wave equation.
本文用参量变换法直接导出了有耗光纤的孤波方程及其基态孤子解。
In this pater, using parametric transform method direct derive soliton wave equation of loss optical fibers and elementary soliton solution.
这种方法同样也适用于求解具有更高次非线性项的其他非线性波方程。
This method used in the paper can be also be applied to other nonlinear wave equations with higher-order nonlinear terms.
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。
Some nonclassical potential symmetry generators and group-invariant of heat equation and wave equation were determined.
将该方法应用于其它非线性波方程(组)中，可获得更多的显式行波解。
More explicit travelling wave solutions can be obtained by using this method to solve other nonlinear travelling wave equations.
介绍了用赝谱方法数值求解非线性漂移波方程，讨论了计算中遇到的一些问题。
Pseudospectral method is used to solve the driven -damped 1-d nonlinear drift -wave equation. Some problems in the computation are discussed.
为避免二维波方程中的大量计算，使用二维波动方程的中心差分近似来模拟流体运动。
This paper used centered difference to simulate the fluid movement in order to avoid lots of calculations in two dimension wave equation.
利用耦合波方程分析了相位共轭效应和受激散射阈值效应对受激散射光发散角的影响。
The influence of the phase conjugation effect and the threshold effect of stimulated scattering on the divergence of stimulated scattering was discussed.
利用能量法证明了具耗散边界条件和时间依赖系数的非线性波方程的能量指数衰减性。
By using the perturbed-energy method, the exponential decay of the solution is obtained for the nonlinear wave equations with time-dependent coefficients and dissipative boundary condition.
本文首次探讨了对弹性波在传播过程中的反射和波型转换有任制作用的弹性波方程的形式。
Several approximate elastic wave equations in which reflection and conversionare weaker than in accurate ones are first discussed in the paper.
提出了一种改进的、可用于计算偏振相关拉曼增益的光纤拉曼放大器的非线性耦合波方程。
A set of improved nonlinear coupled-wave equations describing the properties of fiber Raman amplifiers is developed, which can be applied to calculate the polarization dependent Raman gain.
研究提出了弹性波方程交错网格任意偶数阶精度差分解法及倾斜界面地表折射盲区计算公式。
The study puts forward the precision difference solution to elastic wave equation, using staggered mesh random even rank, and formula for tilted contact surface's refraction blind zones.
通过数值求解耦合波方程，研究了半导体光放大器弛豫时间对四波混频波长变换效率的影响。
This dissertation is devoted to effects of relaxation times on wavelength conversion efficiency based on four-wave mixing(FWM) in semiconductor optical amplifier(SOA).
介绍了光纤光学参量放大器的理论，基于耦合波方程推导出光纤光学参量放大器的增益表达式。
Theory of fiber optical parametric amplifiers (FOPAs) is introduced and the expression for the gain of FOPAs is deduced from the basic coupled wave equations.
基于声波或弹性波方程的有限差分方法是数值模拟地震波场或合成VSP地震记录的有力工具。
The finite difference methods based on acoustic or elastic wave equation are very useful tools for wave-field numerical modeling or VSP data synthesizing.
以线性扩散波方程在自由下边界条件下的解析解为例，利用遗传算法来确定扩散波方程的参数。
The paper demonstrated the method for solving the parameters of the linear diffusive wave equation under free downstream condition by using genetic algorithms.
本文建立了沿不同方向的多个超声波信号作用下的多维声光衍射的耦合波方程，并求出相应的解。
A set of coupled wave equations for multiple dimensional acoustooptic diffraction with multiple acoustic waves along different directions is put forward and its solutions are derived.
应用推荐