The nonlinear wave shape degenerates to a sinusoidal wave.
增加三个正弦波可形成一个复合波。
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。
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。
This paper deals with methods of numerical solutions for problems of nonlinear wave propagations in arteries.
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。
The transient behavior of nonlinear wave-mixing effect, where the resonant enhancement exists, is also obtained.
还得到非线性混频效应的瞬态过程。共振增强存在于此非线性混频过程中。
This paper presents a numerical model for simulating nonlinear wave interaction with submerged porous breakwater.
为进一步验证数值模型的适用性，模拟了淹没潜堤上的传播变形。
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。
We show the existence of blow-up solutions for a coupled nonlinear wave system with critical power in dimension two.
二维空间中一类具临界幂的耦合非线性波动系统的爆破解 李晓光；
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 initial boundary value problem of the nonlinear wave equation with the weak damping term and a source term was studied.
研究了含弱阻尼和源项的非线性波方程初边值问题。
This research will be very important to the research of nonlinear wave in rock and other non-classical nonlinear materials.
这一结果对于岩石和其他非经典非线性材料中的波动研究具有重要意义。
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。
According to the giving wave spectrum, the coefficient of nonlinear wave filter is gotten by the method of stochastic averaging.
应用随机平均法，根据所给定的波浪谱确定滤波器参数。
Analytic Methods in Magnetohydrodynamics, Numerical Methods in Magnetohydrodynamics, Nonlinear Wave Propagation and Its Applications.
磁流体力学数值解析方法，磁流体力学数值模拟方法，非线性波传播及其应用。
The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.
证明了具周期系数的边值问题正时间周期解的存在性以及对应初边值问题解的渐近性。
This paper studies nonlinear wave equation with dispersion items, reaching an approximate Solution in the method of Parameter differentiation.
对带色散项非线性控制方程进行了研究，用“参数微分法”，得到其近似解。
This paper Studies nonlinear wave equation with dissipation items, reaching an approximate solution in the method of parameter differentiation.
对一类带耗散项非线性波动方程进行了研究，用“参数微分法”，得到其解析近似解。
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 double solutions correspond possibly to the wave-particle duality in quantum theory, and connect the double solution theory of the nonlinear wave mechanics.
双解可能对应于量子理论中的波-粒二象性，联系于非线性波动力学的双重解。
From the results, we may draw that the generalized WKB is the development of WKB method with greater dominance in solving the problems with nonlinear wave number.
结果表明：广义WKB法是WKB法的一种推广，在求解非线性波数问题时具有更好的优势。
In this paper, the nonlinear wave-wave interactions among the "pump" wave, "signal" wave aud "idle" wave have been discussed, starting from nonequilibrium theory.
本文从非平衡统计理论出发，讨论了三光子参量系统中泵浦波、信号波和空闲波之间的非线性波-波相互作用。
Optimal control engineering of nonlinear waves often assumes that obtaining a model of the nonlinear wave systems is available and one wants to optimize its behavior.
最优化非线性波的控制工程常常假设可以得到一个非线性波模型，人们力求优化这些非线性波的性质。
The major purpose of this thesis is to do some research work on calculation of fatigue damage of ship hull structures with combined bending stress under nonlinear wave loads.
本文的主要目的是研究非线性波浪载荷作用下多种应力成份组合的船体结构疲劳损伤计算。
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。
The solution of the nonlinear wave equation describing propagation of a femtosecond laser pulse with duration of several optical oscillation periods in a nonlinear fiber is presented.
给出了描述具有几个光振荡周期的飞秒激光脉冲在非线性光纤中传输方程的解。
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.
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。
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。
Numerical examples prove good accuracy of the artificial boundary conditions and wave motion input method, which can be easily used in study of problems of nonlinear wave motion in layered soils.
数值算例表明，所给出的人工边界与波动输入方法具有良好的精度，可以方便地应用于成层地基非线性波动问题的研究。
But if linearly superpose the two fundamental wave solution, it does not have the significance because their background are nonlinear.
但简单的将这两个基波解进行线性迭加是没有意义的，因为它们的背景是非线性的。
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