查询词典 evolution equation

In this paper,the existence and stability of fixed points are studied to a Nonlinear Evolution Equation and the nonexistence of limit cycles is proved by the Bendixon-Dulax.

研究了一个非线性发展方程不动点的存在性及其稳定性，并运用Bendixon-Dulax判别法证明了此方程极限环的不存在性

These models include many constitutive relations of damaged structure and stress transition method, damage evolution equation and respective failure criterion.

模型中包括了损伤结构的多种本构关系及应力转换方法、损伤发展方程与相配套的破坏准则。

A study was made on the relationship between the stability and convergence when the difference method was used to solve the initial boundary value problem of the autonomous evolution equation.

研究用差分法求解自治的发展方程初边值问题时稳定性和收敛性之间的联系。

Furthermore, the GKS theory for judging the initialboundary value problem of linear evolution equation is emphatically discussed.

同时，重点介绍了判定线性发展方程初边值问题计算稳定性的GKS理论。

In the model, the evolution equation of damage was introduced and the time-dependent effect and nonproportional path effect was taken into account.

在模型中，引入了损伤演化方程，考虑了时相关效应及非比例路径效应。

The equation describing the evolution of the laser spot is derived.

考虑有质动力与电荷分离场的平衡，推出了超短超强脉冲激光在低密度等离子体中的折射率、电子密度和电荷分离场的表达式以及激光束斑的演化方程。

The new method- expansion method-proposed by Wang Ming-hang and others is promoted to high-dimensional nonlinear evolution equation.

将王明亮等人提出的一种新方法－扩展法推广到高维的非线性演化方程。

Nonlinear evolution equation is an important mathematical model for describing physical phenomenon and an important field in the contempary study of nonlinear physics, especially in the study of soliton theory.

非线性演化方程是描述物理现象的一类重要数学模型，也是非线性物理特别是孤立子理论最前沿的研究课题之一。

Wahlquist and Estabrook proposed a theory of prolongation structures of the nonlinear evolution equations in terms of Cartans exterior differential form method and successfully applied it to kdv equation.

Wahlquist和Estabrook最早利用Caftan的外微分形式方法提出了非线性演化方程的延拓结构理论，并且成功地讨论了kdv方程的延拓结构。

To seek new infinite sequence exact solutions to nonlinear evolution equationsNEE(s, the formula of nonlinear superposition of the solutions of the second kind of elliptic equation are given, infinite sequence exact solutions to combined KdV with varible coefficients and forcible term is constructed with the aid of symbolic computation system Mathematica, which include Jacobi-like elliptic function solutions, infinite sequence soliton-like solutions and infinite sequence triangular function solutions.

为了获得变系数非线性发展方程的无穷序列精确解，给出第二种椭圆方程解的非线性叠加公式，借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的无穷序列精确解。这里包括无穷序列类Jacobi椭圆函数解、无穷序列类孤子解和无穷序列三角函数解。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！