Wave equations of a planar waveguide with Fermi index profile are studied theoretically.
严格求解了折射率分布可用费米函数描述的平面光波导的波动方程。
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。
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。
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 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。
A general solution of multiple scattered waves in solids based on wave equations of heat conduction is given.
基于热传导波动模型给出了物体中热波多重散射问题的一般解。
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 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。
The periodic initial value problem of a class of generalized symmetric regularized long wave equations is considered.
考虑了一类广义的对称正则长波方程的周期初值问题。
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。
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。
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；
This article elaborated elastic-wave equations, inferred heterogeneous layered half-space and space-Rayleigh wave equation.
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；
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。
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。
Based on the modified inter-boundary conditions, relevent coupled wave equations have been obtained for the slot-coupled system.
利用修正后的联系边界条件，得到槽耦合系统的耦合波微积分方程。
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 characteristic method is applied and the weak discontinuous solutions of homogeneous quasilinear wave equations are discussed.
主要分析一维拟线性波方程的解的间断性。
The equivalence principle of solutions of nonlinear large gas dynamics waves and of solutions of water wave equations will be used.
非线性的大的气体动力学波和水波方程式的溶液的解决办法的相等原则将被使用。
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。
Modified coupled-wave equations are used to calculate the effect of grating shape on coupling coefficient of the second-order gratings.
利用改进的耦合波理论计算了具体器件结构中光栅形貌对二级光栅耦合系数的影响。
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。
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。
Using dyadic method, non-homogeneous wave equations of time-harmonic electromagnetic field are solved directly, several examples are calculated.
运用并矢代数方法，直接求解时谐电磁场的非齐次波动方程，并给出应用实例。
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 exact solutions to dispersive long-wave equations are obtained by a polynomial expansion method based on the idea of the homogeneous balance method.
基于齐次平衡法的思想，利用多项式展开法解得了具有色散项的长波方程组的精确解。
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 bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.
应用动力系统分支理论，研究广义水波方程组行波解的分支。
The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.
应用动力系统分支理论，研究广义水波方程组行波解的分支。
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