1) extended F-expansion method
扩展F-展开法
1.
By using extended F-expansion method,a number of exact solutions,which are expressed by Jacobi elliptic functions to nonlinear evolutional equations with variable coefficients were found.
利用扩展F-展开法求出了一个变系数非线性演化方程更多个以Jacobi椭圆函数表示的精确解,当模数m→1或m→0时,可得到类孤立波解和三角函数表示的精确解。
2.
By using the extended F-expansion method recently proposed,a number of periodic wave solutions to the nonlinear equation with variable are obtained,which are expressed by Jacobi elliptic functions.
直接利用扩展F-展开法求出了一个变系数非线性演化方程的更多个以Jacobi椭圆函数表示的精确解。
3.
With the coupled Burgers system,this paper deduces a number of solutions expressed by hyperbolic solitary wave function,triangular function and rational function,by applying the extended F-expansion method and Riccati equations.
针对耦合Burgers系统,采用扩展F-展开法和Ricctia方程辅助,通过Maple辅助计算得到了双曲函数扭状孤波解、三角函数周期解和有理函数解。
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) 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。
5) 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。
6) 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。
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。
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