1) improved unwrapping algorithm
改进展开算法
2) modified F-expansion method
改进的F-展开法
1.
In this paper,we solve some fifth-order nonlinear evolution equations by using modified F-expansion method,and obtain abundant new exact solutions.
应用改进的F-展开法求解一类五阶非线性发展方程,获得了该方程的大量新的精确解。
2.
By using a modified F-expansion method,rich families of exact solutions of DGH equation with strong dispersive term have been obtained,including soliton-like solutions,trigonometric function solutions and rational solutions.
利用改进的F-展开法,求出了一类带强色散项DGH方程的一系列类孤子解,三角函数周期解和有理数解,方程结合了KdV方程的线性色散项和C-H方程的非线性色散项。
3.
In this paper, the major contents conclude: under Homogeneous balance idea, a modified F-expansion method is proposed by taking full advantages of F-expansion method and Riccati equation in seeking exact solutions of nonlinear PDEs.
本文研究的主要内容：在齐次平衡原则的思想下，充分利用F-展开法和Riccati方程在非线性偏微分方程(PDES)求解中的优良特性，提出一种改进的F-展开法。
3) the extended tanh-function method
改进的tanh函数展开法
1.
By utilizing the auxiliary ordinary differential equation and its solutions,the first kind and second kind of KdV equation with variable coefficients were investigated by means of the extended tanh-function method,and abundant new exact solitary wave solutions were obtained under certain conditions.
利用该方程及其解,采用改进的tanh函数展开法研究了第1类和第2类变系数KdV方程,获得了在一定条件下的若干新精确孤波解。
4) modified global base expansion method(MGBEM)
改进型全域基展开法(MGBEM)
5) improved F-expansion method
改进的F-展开方法
1.
The improved F-expansion method is proposed more recently and,by using the improved F- expansion method,many exact solutions for a class of nonlinear coupled Klein-Gordon equations are con- structed.
改进了最近提出的F-展开方法,并且利用改进的F-展开方法构造了一类非线性藕合Klein- Gordon方程的精确解。
6) improved truncated expansion method
改进的截断展开法
1.
We give a new improved truncated expansion method.
给出了一种改进的截断展开法,利用此方法借助于计算机符号计算求得了Burgers方程和浅水长波近似方程组的精确解,其中包括孤子解,并讨论其具体应用。
补充资料：改进
改变旧有情况，使有所进步：～工作ㄧ操作方法有待～。
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