1) generalized F-expansion method
广义F展开法
1.
By using the white noise analysis,Hermite transform and the generalized F-expansion method,a number of Wick versions of white noise functional solutions,trigonometric function solutions and hyperbolic function solutions for the Wick-type stochastic clannish random walker s parabolic equation and the one with variable coefficients are obtained,respectively.
通过白噪声泛函分析理论、Hermite变换和广义F展开法,分别得到Wick型clannish random walker's para-bolic方程和变系数的clannish walker's parabolic方程的白噪声泛函解、三角函数解及双曲函数解。
2) the modified generalized F-expansion method
广义的扩展F-展开法
3) generalized modified F-expansion
广义扩展的F-展开法
1.
The generalized modified F-expansion method is developed to solve nonlinear mathematic physic equations.
从解的形式和约束条件两个方面对求解非线性数学物理方程的F-展开法进行了改进,得到广义扩展的F-展开法。
4) generalized expansion method
广义展开法
1.
In the paper,by using Hermite tranformation,Wicktype stochastic generalized kdv equation is reduce to stochastic coefficient equation,then some stochastic exact solutions are obtained via generalized expansion method and Hermite inverse transformation.
利用埃尔米特变换求出了Wick-类型的随机广义Kdv方程的精确解,这种方法的基本思想是通过埃尔米特变换把Wick-类型的随机广义Kdv变成广义系数Kdv,利用广义展开法求出方程的精确解,然后通过埃尔米特的逆变换求出方程的精确解。
5) 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。
6) 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。
补充资料：上行展开法
分子式：
CAS号：
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。
CAS号：
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。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条