It indicates that the method is also suitable for solving other nonlinear evolution equations.
这种方法也同样适用于求解其它非线性波动方程。
This paper is concerned with the evolution equations of creep damage beams under pure bending.
提出了纯弯曲梁的蠕变脆断损伤失效分析方法。
Many interesting nonlinear evolution equations have been shown to be related to motions of curves.
许多有意思的非线性演化方程都与曲线运动有着密切的关系。
Some explicit and exact solutions to nonlinear evolution equations were obtained by the (improved) method.
用这种方法和吴消元法，得到一类反应扩散方程的许多显式和精确行波解。
So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.
因此，很多非线性演化方程都与曲线和曲面运动有着密切的关系。
The results indicate that the HAM is still valid for solving a class of higher dimensional evolution equations.
结果表明，同伦分析法在求解高维非线性演化方程时，仍然是一种行之有效的方法。
The classical mechanical time evolution equations are found as the classical limit case of the evolution equations.
经典力学运动方程是我们所得演化方程的经典极限。
Applying the perturbation method, the nonlinear evolution equations are expanded as multi-order approximate equations.
利用小扰动方法对非线性演化方程作展开得到原始方程的各级近似方程。
Based on double scalar isotropic damage theory, a new soil damage model and damage evolution equations were presented.
根据双标量各向同性弹性损伤理论，提出了一个土体损伤模型，给出了相应的损伤演化方程。
This method used here is very simple and effective and can generalized to a large class of (2 + 1) evolution equations.
此方法直接而简单，可推广应用到一大类(2 +1)维非线性方程。
The evolution equations of wavelength, phase velocity, propagation direction and amplitude of the AGW packet are derived.
文中导出了声重波波长、相速、传播方向以及振幅的演变方程。
A to be determined coefficient method for finding dual operators of hierarchies of non-linear evolution equations is proposed.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
In this Paper, a class of variable coefficient's nonlinear evolution equations associated with the spectral problem is deduced.
本文导出与谱问题相联系的一类变系数非线性演化方程。
In assumption 3 a new operation is introduced and the evolution equations of internal variables are denned in the point set of time.
在假设3中通过引入一种新的运算，把内变量演化方程定义在时间的点集上。
Finally, the summary of this dissertation and the prospect of study on constructing exact solutions to nonlinear evolution equations are given.
最后对本文的工作进行了总结，并对今后的研究方向作了展望。
In the isothermal condition, the effect of temperature was introduced by temperature terms in evolution equations of isotropic deforming resistance.
在等温条件下，在各向同性变形阻力演化方程中引入温度项来考虑温度效应。
The author proves that it is equivalent to another class of evolution equations and the single solitons of the equivalent class are one to one correspondent.
作者证明了它与另一类演化方程等价，并证明了这两个等价类的单孤立子一一对应。
The evolution equations of the soliton parameters are given from conditions eliminating secular terms, and then the first-order correction is eventually obtained.
按完备基展开一级修正解，利用消除“久期”项的条件，给出孤子参数的演化方程并最终得到计算一级修正的公式。
As examples, two (2 + 1) -dimensional nonlinear evolution equations are taken to show that the modified approach can obtain more new format solutions than before.
并以两个(2 +1)维非线性演化方程为例，说明改进的方法能较好地求得非线性演化方程的更多形式新解。
Moreover, the evolution equations of isotropic deformation resistance which has fading memory on the cyclic deformation behavior of previous history are deveopled.
还提出了对先前加载历史循环变形行为衰减记忆的各向同性变形阻力演化方程。
Using the Nonmodal approach, the temporal evolution equations with Spatial Fourier Harmonics for the disturbed quantities are obtained, and have been studied numerically.
采用非模方法，得到了扰动量的剪切傅里叶谐波分量随时间演化的方程组，并对方程组进行了数值分析。
From the nonlinear Schrdinger equation of beam propagating in Kerr absorbing medium, a set of evolution equations describing Gaussian beam waist radius have bean deduced.
由光束在克尔型吸收介质中传输的非线性薛定谔方程出发，推导了高斯光束注入介质后满足的耦合方程。
Direct simulation of a process of interest, rather than the integration of a set of underlying evolution equations, is an indispensable element in the study of complex systems.
直接模拟复杂有趣的过程，而不是计算一套枯燥的演化公式，这是如今复杂系统研究中必不可少的要素。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
At the same time, some scientific hypotheses of the damage evolution equations and stress-strain relationship as well as the failure mechanism of rock mass are also proposed.
同时，也为进一步建立岩体结构合理的损伤演化方程、本构关系和研究岩石破坏机理提供了科学依据。
Based on this, the evolution equations, evolution laws of elliptical Hermite-Gaussian light beam's every variable and two critical powers are also derived using variational method.
在此基础上，运用变分法得到了椭圆厄米高斯光束各参量的演化方程、演化规律和两个临界功率。
One approach would be, following Newton, to write down the equations for the evolution of the biosphere and solve them.
一种可能的方法是像牛顿一样，写出生物圈进化的方程并解决它。
And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly differential equations.
这组算子的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
We start from the metric containing a varying speed of light to investigate the cosmological evolution and give the modified Friedmann equations.
本文从含有变光速的度规出发考虑了宇宙的演化并给出了修正的弗里德曼方程。
By solving the joint equations, the probability characteristic of evolution of the nonlinear configuration state and the node force could be evaluated.
求解这一方程可分别得到非线性构形状态演化和结点力随机演化的概率结构。
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