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。
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。
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。
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。
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。
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。
On the occasion of a simple structure the equations are analytical by solved, regulations of the nonlinear configuration state evolution are then discussed and the stable state is discovered.
对于简单结构进行了解析求解，并据以研究了结构非线性随机演化的特征，讨论了稳定构形现象。
Thirdly, the equations of NALM power transmission are amended including the nonlinear polarization evolution (NPE) induced by nonlinear birefringence at high input power.
分析了强光条件下光纤非线性双折射及引起的偏振演化（NPE）效应，据此对NALM环功率传输特性基本表达式进行了修正。
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。
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。
应用推荐