这个方法也可以被应用到其他的非线性演化方程。
This approach can also be applied to other nonlinear evolution equations.
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 this Paper, a class of variable coefficient's nonlinear evolution equations associated with the spectral problem is deduced.
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。
A to be determined coefficient method for finding dual operators of hierarchies of non-linear evolution equations is proposed.
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。
Many interesting nonlinear evolution equations have been shown to be related to motions of curves.
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。
This paper deals with the dual Toeplitz operators on the orthogonal complement of the Fock space.
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。
So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.
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。
Applying the perturbation method, the nonlinear evolution equations are expanded as multi-order approximate equations.
用分离变量法研究了新(2 +1)维非线性演化方程的相干孤子结构。
The variable separation approach is used to obtain coherent soliton structures of a new (2 + 1) dimensional evolution equation.
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 results indicate that the HAM is still valid for solving a class of higher dimensional evolution equations.
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。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
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。
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.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
在物理学中，物理参量随时间的演化往往是由非线性的偏微分方程支配的。
In physics, the physical parameter evolution along with the time is often controlled by the non-linear partial differential equation.
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。
By solving the joint equations, the probability characteristic of evolution of the nonlinear configuration state and the node force could be evaluated.
基于密度波理论的非线性方程，用定性分析理论可导出旋涡星系的演化方向和由观测可得到的演化条件。
Based on the nonlinear equations of the theory of density wave, the evolutionary direction and the observable conditions on spiral galaxies may be derived by the qualitative analysis theory.
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。
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.
脉冲演化的规律遵循非线性薛定谔方程（NLSE）。
The Non-linear Schrodinger Equation (NLSE) can be used to describe the distortion of optical pulses.
应用非线性方程的定性分析理论，获得双星演化的非线性动力学机制。
Then by using the qualitative analysis theory of nonlinear equation, a nonlinear dynamical mechanism of formation of binary stars is obtained.
本文在有理面附近的局域近似下，从MHD方程出发，求出了非线性撕裂模的时间演化的解析结果。
With the local approximation near the rational surfaces, the analytical expressions of the evolution of non-linear tearing modes are derived from MHD equations;
本文在有理面附近的局域近似下，从MHD方程出发，求出了非线性撕裂模的时间演化的解析结果。
With the local approximation near the rational surfaces, the analytical expressions of the evolution of non-linear tearing modes are derived from MHD equations;
应用推荐