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1)  expansion method
展开法
1.
The paper discusses the principle and application of designing expansion method of the integrated blocks based on the computer-aided design technology.
文章论述了基于CAD技术的集成块展开设计法的原理、方法和应用,该集成块展开法设计突破了传统设计法,使集成块零件设计满足正确、快捷、可视和高效的现代设计技术要求,具有工程应用的价值。
2.
Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.
将改进的Jacobi椭圆函数展开法应用到Zakharov方程,比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解)。
3.
Pure vibrational and vibrational-rotational energy levels as well as Frank-Condon factors of CO molecule are computed by both finite difference method and spherical Bessel function expansion method respectively, using Morse potential function as potential model function.
并选用Morse势函数为模型势函数,分别利用有限差分法和球贝塞尔函数展开法计算出了双原子分子CO的纯振动、振-转能级能量本征值和波函数以及Frank-Condon因子。
2)  Taylor Expansion Method
Taylor展开法
3)  F-expansion method
F展开法
1.
Solving KdV equation with variable coefficients by using F-expansion method;
用F展开法解变系数KdV方程
2.
The extended F-expansion method and new exact solutions of the generalized KdV equation
修正的F展开法和推广的KdV方程新的孤波解和精确解
3.
The F-expansion method which can be used to solve nonlinear equations has been summarized.
对求解非线性方程的F展开法进行了综述,揭示了方法的内在本质,指出了F展开法可能的发展方向,并结合F展开法的最新进展,给出了一个辅助常微分方程,借助它可求解具有高次非线性项的非线性偏微分方程。
4)  F-expansion
F-展开法
1.
By using Mathematica and the F-expansion method recently proposed on the base of analogic method,homogeneous balance method and Jacobi method,the double periodic wave solutions expressed by Jacobi elliptic functions for the(n+1)-dimensional Sinh-Gordon equation .
然后由行波约化将其常微分方程化,在拟设法、齐次平衡法和Jacobi椭圆函数法的基础上,借助Mathematica软件和新近提出的F-展开法,求出并研究了(n+1)维SG方程的Jacobi椭圆函数表示的双周期波解,分析了解的结构,在极限情况下这些解退化为相应的孤立波解、三角函数解和奇异行波解。
2.
By applying F-expansion this paper obtains a number of new periodic wave solutions expressed by various Jacobi elliptic functions of the dispersive long wave equations in 2+1 dimensions.
利用F-展开法,求出了非线性耦合Klein-Gordon方程组的许多新的由Jacobi椭圆函数表示的周期波解。
3.
By applying F-expansion we obtain a number of new periodic wave solutions expressed by various Jacobi elliptic functions of the dispersive long wave equations in 2+1 dimensions.
利用F-展开法,求出了(2+1)维扩散长波方程组的许多新的由Jacobi椭圆函数表示的周期波解。
5)  F-expantion method
F-展开法
1.
In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function.
利用齐次平衡原则和F-展开法,求出了一个五阶变系数KdV-like方程的一些用Jacobi椭圆函数表示的双周期解。
2.
In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic wave exact solutions of a fifth-order KdV-like equation is obtained,in the form of Jacobi elliptic function.
根据齐次平衡原则和F-展开法,求出了五阶KdV-like方程一些用Jacobi椭圆函数表示的双周期解。
3.
In the paper,we mainly use homogeneous balance principle and F-expantion method to obtain some exact solutions of a nonlinear Pochhammer-chree equation.
根据齐次平衡原则和F-展开法,求出了非线性Pochhammer-Chree方程一些用Jacobi椭圆函数表示的双周期解。
6)  F-expansion method
F-展开法
1.
Solving Variant Boussinesq equations by using F-expansion method;
用F-展开法解Variant Boussinesq方程组
2.
In this paper,the F-expansion method is used to solve the coupled Schrodinger and KdV equations with computerized symbolic computation.
借助于计算机符号计算技术,利用F-展开法求得耦合Schrodinger-KdV方程的精确解,其中包括三角函数解、双曲函数解和椭圆函数解,其精确解在等离子体物理中有着广泛的应用。
3.
In this paper,exact soliton solutions of Hirota-Satsuma equations are worked out by applying the F-expansion method and computer algebra software Mathematica.
该文应用F-展开法和计算机代数系统M athem atica求解了非线性发展方程H irota-Satsum a方程组,并获得了新的精确孤立波解。
补充资料:上行展开法
分子式:
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性质:在平面色谱中,溶剂沿纸或薄层板的下端不断地向上移动的展开过程。是最常用的展开法。

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