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。
This approach can also be applied to other nonlinear evolution equations.
这个方法也可以被应用到其他的非线性演化方程。
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 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。
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。
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 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。
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。
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。
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。
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