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.
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。
The results show the method is simple and effective and can be applied to other nonlinear wave equations.
结果表明该方法简单有效，并且可以应用到其它的非线性波动方程。
From plasma wave equations and plasma kinetic equation, we analytically discussed the characteristic of current in an inductive coupled RF plasma and their damping mechanism.
从等离子体波动方程和动力学方程出发，利用解析方法，讨论电感耦合rf放电等离子体的电流特性和衰减机制。
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。
Under appropriate conditions, the approximate solutions for two nonlinear wave equations are obtained simply and conveniently.
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。
Lattice systems and nonlinear wave equations are two kinds of very important infinite dimensional dynamical systems.
格点系统与非线性波动方程是两类很重要的无穷维系统。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
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.
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。
We consider the initial boundary value problem for a class of nonlinear degenerate wave equations in a bounded domain.
考虑了有界区域上一类非线性退化波动方程的初边值问题。
And, using the planar hologram diffraction theory, the coupled wave equations of the volumetric hologram grating diffraction have been derived and the diffraction efficiencies obtained.
将体全息光栅视为许多平面全息光栅的集合，利用平面全息衍射理论导出体全息光栅衍射的耦合波方程，并得到其衍射效。
In this paper, we present a new method to solve the Cauchy's problem of the homogeneous wave equations of three dimensions, which appear comparatively simple and feasible.
本文提出了一类齐次三维波动方程柯西问题求解的新方法，该方法比一般的求解方法更简便。
Several approximate elastic wave equations in which reflection and conversionare weaker than in accurate ones are first discussed in the paper.
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。
The relation between linewidth broadening factor and semiconductor's linewidth can be obtained by utilizing wave equations.
利用波动方程，得到了线宽增长因子同光源线宽的关系；
In particular, for the case of small initial data with compact support, the author gives the life-span of classical solutions and its application to nonlinear wave equations.
特别地，对紧支集小初值的情况，给出了经典解的生命区间及其在非线性波动方程中的应用。
More explicit travelling wave solutions can be obtained by using this method to solve other nonlinear travelling wave equations.
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。
The elastic wave equations and the boundary conditions of SAW in different media are studied, and the behaviors of SAW in the isotropic, anisotropic and piezoelectric media are fully discussed.
通过对不同介质中的弹性波方程和表面弹性波边界条件的研究，对各向同性、各向异性以及压电介质中的表面弹性波行为进行了详细的讨论。
This method used in the paper can be also be applied to other nonlinear wave equations with higher-order nonlinear terms.
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。
Some new exact elliptic periodic solutions of the dispersive long wave equations in (2 + 1) dimensions are obtained by using the method.
在此基础上，得到2 +1维耗散长波方程组的椭圆周期解。
By using potential well family method, we study the invariant sets and vacuum isolating behaviour of solutions to a class of nonlinear wave equations.
应用位势井族方法，研究了一类非线性波动方程的不变集合与解的真空隔离，证明了当初始能量小于位势井深度时，此问题存在不变集合与解的真空隔离现象。
The solving of wave equations and tortuous ray method are fundamental methods of analysing plane optical waveguiding.
曲折光线法和解波动方程是分析平面光波导的基本方法。
On the basis of light interaction with two-level atomic system, we derive the interaction solitary wave equations, its solution and two necessary conditions for the existence of the solution.
在光与二能级原子系统相互作用的基础上，我们导出相互作用孤立波方程组及其精确解，以及存在解的两个必要条件。
According to the variational principle for wave propagation, the elastic wave equation and the compressional and shear wave equations in a vertically inhomogeneous medium are developed.
本文由波传播问题的变分原理导出了垂向不均匀介质中的弹性波波动方程及纵波和横波波动方程。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
Chapter one studied the finite difference methods of a class of high-order wave equations?
第一章研究了一类高阶波动方程的有限差分法。
The SBS coupled wave equations are solved numerically and laser induced stress is obtained spatially.
数值求解了SBS耦合波方程组，得到了SBS诱导应力的时空分布。
The long time behavior of solutions of the generalized symmetric regularized long wave equations with dissipation term is considered.
该文考虑了带有耗散项的广义对称正则长波方程解的长时间性态。
The long time behavior of solutions of the generalized symmetric regularized long wave equations with dissipation term is considered.
该文考虑了带有耗散项的广义对称正则长波方程解的长时间性态。
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