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。
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。
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。
The symmetry algebras of 1 + 1 dimensional nonlinear evolution equation arising from the motion of plane curve in affine geometry are systematically studied.
系统地研究了来自于射影几何中平面曲线运动的1 + 1维非线性方程的对称代数。
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。
A comprehensive nonlinear dynamic model for the evolution and deformation of the crust is established based on considering the coupling and feedback among many factors and processes.
综合考虑多因素和多过程间的耦合与反馈作用，建立了地壳演化与变形的综合的非线性动力学模型。
Nonlinear pulse evolution transmitted in fiber was stimulated through computer. We find that nonlinearity can compress pulse and reduce polarization mode dispersion (PMD).
数值模拟了非线性功率脉冲在光纤中的脉冲演化过程，发现利用非线性可以压缩每一脉冲的偏振分量和减小偏振模色散(PMD)。
Thus, a nonlinear viscoelastic constitutive relation for cement mortar based on standard linear solid model considering the evolution of the damage internal variable is established accordingly.
据此，在标准线性固体模型的基础上，考虑损伤内变量的演化，建立了应变率相关的水泥砂浆的非线性黏弹性损伤模型。
The evolution curve show known that fractal dimension and damage variable present nonlinear increase with the increment of stress, and the change of fractal dimension is relatively smooth.
通过演化曲线可以看出，分形维数与损伤变量随应力的递增均呈非线性增加，但分维的变化较平缓；
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。
A nonlinear system identification method ba sed on hybrid evolution strategy is proposed.
提出了基于混合进化策略的非线性系统辨识方法。
The total evolution index was induced and the FEM of material plastic damage model was supplied to simulate the nonlinear damage evolution of bridge structure subjected to the earthquake excitation.
引入了地震损伤的整体演化指标，通过有限元方法利用材料塑性损伤模型模拟桥梁结构在地震激励下的非线性损伤演化过程。
An equation for describing the evolution of agricultural machinery products possessions was established and then its nonlinear chaos property with the theory of stability was pointed out.
该文建立了描述农机产品社会拥有量的演化方程，并指出该方程具有非线性混沌特性。
Using the macroscopic nonlinear polarization model, we discussed in detail the dynamic evolution behaviors of opt ioal field in coherent driving intraoavity second-harmonic generation (ISHG).
本文利用宏观非线性极化模型，分析了相干驱动内腔二次谐波过程中光场的动力学演化行为。
One of the key problems in the nonlinear theory of the hydrodynamic stability is to determine the law of the evolution of the disturbance velocity amplitude.
求解扰动速度幅值的演化规律，是流动稳定性非线性理论的关键问题之一。
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。
Predictable time scale of the evolution of chaotic rock mass dynamic systems is one of the most important parameters in nonlinear forecasting theory.
岩体混沌动力系统演化过程的可预测尺度是非线性预测理论研究的重要内容。
Predictable time scale of the evolution of chaotic rock mass dynamic systems is one of the most important parameters in nonlinear forecasting theory.
岩体混沌动力系统演化过程的可预测尺度是非线性预测理论研究的重要内容。
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