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1)  The Modification of Hyperbolic Function Method
双曲函数法的改进
2)  the further improved hyperbolic functions method
改进的双曲函数法
1.
With the further improved hyperbolic functions method,the new exact soliton solutions for the equation of nonlinear vibrating string are obtained,which include kink soliton solution and new soliton-like solutions.
利用改进的双曲函数法,研究了非线性弦振动方程,得到了若干其它方法不曾给出的多种新形式的类孤子解。
2.
With the help of the further improved hyperbolic functions method,the new discrete soliton solutions for the discrete nonlinear Schrdinger equation are obtained,which include discrete kink-type soliton solution,bell-type soliton solution and new formal soliton-like solutions.
利用改进的双曲函数法,研究离散的非线性薛定谔方程,不仅得到了离散暗孤子解,还获得了离散亮孤子解以及其它一些新形式的离散类孤子解。
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3)  improved double functions method
改进的双函数法
1.
By means of the improved double functions method, many kinds of exact travelling wave solutions for a class of nonlinear evolution equations are obtained, which contain soliton wave solutions and periodic solutions.
使用改进的双函数法 ,获得了一类非线性发展方程组的多组精确行波解 ,其中包括孤波解和周期解 。
4)  Adjusted maximum entropy function
改进的熵函数法
5)  hyperbolic function method
双曲函数法
1.
A simple transformation,hyperbolic function method and exact solution for a class of reaction diffusion equation;
一个简单的变换,双曲函数法和一类反应扩散方程的精确解
2.
A united hyperbolic function method to find the solita ry wave solutions to nonlinear evolution equations was proposed,and two kinds of solitary wave solutions to the combined KdV-mKdV equation were obtained by this method.
提出一种统一的求解非线性演化方程孤波解的双曲函数法 ,并利用这种方法求出了组合KdV mKdV方程的钟状孤波解和激波状孤波解 。
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6)  hyperbola function method
双曲函数法
1.
This paper found some exact solutions of Burgers equation with variable coefficients by the hyperbola function method, including solitary wave solutions and periodic solutions.
对双曲函数法进行了扩展,利用它找到了广义变系数Burgers方程在一定条件下的若干精确解,包括变速孤立波解和周期波解,许多解为首次所得。
2.
The hyperbola function method has been extendedand to find some exact solutions to Burgers equation with variable coefficients.
对双曲函数法进行了扩展,利用它找到了变系数Burgers方程在一定条件下的若干精确解,包括变速孤立波解和周期波解。
3.
Some new exact solutions for a class of the system of LS nonlinear equation are obtained by using the homogeneous balance method, hyperbola function method and trial function method.
利用齐次平衡法、双曲函数法、试探函数法求出了一类长短波方程多个新的精确解。
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补充资料：改进的忽略双原子微分重叠
分子式：
CAS号：

性质：即改进的NDDO。它用半经验模型处理双中心排斥积分，其主要特点是把双原子的电荷分布 和间的相互作用看成是两堆电荷分布的多极距相互作用之和，然后用实验数据优化参数。其参数仅包含单中心单电子能量Uμμ，轨道指数ξ以及βμA和αA，不仅所用参数比MINDO/3少，计算结果也比MINDO/3大有改进，而且机时只增加20％。

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