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。
The fracture is a complex nonequilibrium and nonlinear evolution process.
岩石破碎是一个复杂的非平衡、非线性的演化过程。
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。
The theory describes the temporal nonlinear evolution of the field amplitude and frequency shift of a single wave mode.
从理论上描述了单一受激波的场幅值和频率偏移的非线性变化。
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。
We have performed numerical simulations of nonlinear evolution of plasma interchange instability in equatorial spread F (ESF) under different conditions.
利用数值模拟，研究了不同条件下赤道电离层等离子体交换 不稳定性的演变和扩展F不均匀体的形态。
A physical model of nonlinear evolution of chaotic signal propagation in optical fiber is presented by coupling chaotic laser system with optical fiber channel.
通过耦合激光混沌系统和光纤传输信道，提出光纤混沌信号传输的非线性演化物理模型。
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。
It is discovered that lateral ablation of electron conduction plays an important role in nonlinear evolution of the Rayleigh-Taylor instability with a longer wavelength.
发现了横向电子热传导烧蚀在长波长扰动的非线性瑞利·泰勒不稳定性演变中起重要作用。
Further, through the phase space reconstruction of relating time series and fractal analysis, discussion to nonlinear evolution of the system with varying heating power is delivered.
通过对系统相关时序的相空间重构与分维分析，探讨了系统随加热功率变化的非线性演化规律。
Because the nonlinear evolution of slope could be obtained by learning the sample repeatedly with neural network, the forecast effect of neural network is better than those of traditional methods.
由于神经网络可以通过对样本的反复学习来反映边坡复杂的非线性演化关系，其预测效果要优于传统的预测方法。
Because the nonlinear evolution of slope could be obtained by learning the sample repeatedly with neural network, the forecast effect of neural network is better than those of traditional methods.
由于神经网络可以通过对样本的反复学习来反映边坡复杂的非线性演化关系，其预测效果要优于传统的预测方法。
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