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.
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.
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.
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.
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.
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.
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。
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.
基于密度波理论的非线性方程，用定性分析理论可导出旋涡星系的演化方向和由观测可得到的演化条件。
Based on the nonlinear equations of the theory of density wave, the evolutionary direction and the observable conditions on spiral galaxies may be derived by the qualitative analysis theory.
根据弱相互作用理论，本文建立了损耗大气中极性重力波的非线性相互作用方程。
A set of the interaction equations of inertial gravity waves in a dissipative atmosphere on the basis of the weak nonlinear theory is derived.
引入双参数变换求出了一个非线性方程的显示孤波解，方法简便，便于应用。
By introducing double parameter transformation, the explicit solitary wave solutions for a nonlinear equation are obtained.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
首先，根据普通切片法，对具有任意横剖面形状的快艇，建立规则波中的非线性运动方程并步进求解。
The nonlinear equations of motion of planing boats of arbitrary sections in regular waves are established by ordinary strip method and solved by step-by-step method at first.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
根据耦合波理论，从描述反射全息的非线性微分方程出发，对反射全息图的振幅反射系数进行了分析。
According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed.
论文第二章研究了等离子体中横向扰动下的(3 +1)维弱非线性离子声波，得到了描述离子声孤波的(3 + 1)维kp方程。
In chapter two, the (3 + 1) dimensional weakly nonlinear ion acoustic wave at higher order transverse perturbations in plasma was discussed and described by the Kadomtsev-Petviashvili (KP) equation.
本文分别对三类非线性耦合方程组求解，得到了系统的孤波解。
In this paper, three classes of coupled nonlinear equations are solved respectively, and we obtain solitary wave solution of systems.
在以驱动波相速度运动的坐标系中，用微扰法讨论。在正弦波驱动下的非线性漂移波的分波方程。
The nonlinear drift-wave equation driven by a sinusoidal wave is discussed in a coordinate system moving in the driving phase speed.
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.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
本文利用两层斜压准地转模式，在低谱简化下，得到一个热力强迫波，瞬变波与纬向气流相互作用的非线性方程组。
Using a low order, two-layer baroclinic quasi-geostrophic model, a nonlinear system including the interaction between a thermal forced wave, a transient wave and zonal flow is studied.
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 equivalence principle of solutions of nonlinear large gas dynamics waves and of solutions of water wave equations will be used.
利用二维非线性潮波方程组，讨论了渤黄海主要分潮(全日潮、半日潮及浅水分潮)数值模拟中的有关问题。
By applying two dimensional tidal equations, problems in tidal simulation of Bohai Sea and Huanghai Sea have been solved.
伍时桂和李兆治所建设的非线性波传播方程组是做了某些数学简化和变换。
This paper deals with methods of numerical solutions for problems of nonlinear wave propagations in arteries.
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.
利用小波变换能够很好地保留图像细节信息的特点，提出了一种将非线性扩散方程和小波变换相结合的图像去噪方法。
Using the features of wavelet transform that can save detail image information, an image denoising method with the combination of nonlinear diffusion and wavelet transform was presented.
分析了非线性横摇方程中势流阻尼、非线性阻尼以及在横向规则波作用下波高和频率对安全池的影响。
The influences of potential damping, nonlinear viscous damping, wave heights and wave frequencies in regular beam waves on …
G -N方程比浅水方程增加一个非线性的频散项，以补充有限水深对浅水船波的影响。
This paper employs Green Naghdi (g n) equation to study ship waves in shallow water of finite depth.
G -N方程比浅水方程增加一个非线性的频散项，以补充有限水深对浅水船波的影响。
This paper employs Green Naghdi (g n) equation to study ship waves in shallow water of finite depth.
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