1) 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 。
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 Schrdinger 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。
3) The Modification of Hyperbolic Function Method
双曲函数法的改进
4) Adjusted maximum entropy function
改进的熵函数法
5) 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。
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%。
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%。
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