1) solitary wave-like solution
类孤波解
1.
New solitary wave-like solution and analytic solution of generalized KdV equation with variable coefficients;
变系数广义KdV方程新的类孤波解和解析解
2.
New solitary wave-like solution and exact solution of variable coefficient KP equation;
变系数KP方程新的类孤波解和解析解
3.
These solutions degenerate to solitary wave-like solutions at a certain limit.
将Jacobi椭圆正弦函数展开法与Jacobi椭圆余弦函数展开法引入到变系数KdV方程组的求解中,得到了三组类周期波解· 这些解析解在一定条件下退化为类孤波解·
2) solitary-wave-like solutions
类孤立波解
1.
By using two extended Riccati equations and Mathematica software,the author obtains exact solutions to the Variable Coefficient Burgers Equation with forced term outside and Witham-Broer-Kaup equation,including many kinds of solitary-wave-like solutions,like periodical solutions and solitary wave solutions with variable speed,many of which are found for the first time.
借助两个推广形式的Riccati方程组和Mathematica软件,求出了具外力项变系数Burgers方程和Witham- Broer-Kaup方程的一些精确解,包括各种类孤立波解、类周期解和变速孤立波解,其中许多解是新的。
2.
Including many kinds of solitary-wave-like solutions and like-periodical solutions,many solutions are new.
基于齐次平衡原则和分离变量法的思想,通过两个推广的Riccati方程组和Mathematica软件,求出了变系数(2+1)维Broer-kaup方程的一些精确解,包括各种类孤立波解、类周期解,其中许多解是新的。
3) soliton-like solution
类孤子解
1.
Several exact soliton-like solutions for the variable coefficient KdV equation are obtained through use of the corresponding reduced NLODE.
利用一种函数变换将变系数KdV方程约化为非线性常微分方程(NLODE),并由此NLODE出发获得变系数KdV方程的若干精确类孤子解。
2.
By use of solutions of the auxiliary equation,and through making a function transformation,the new soliton-like solutions and the triangle function wave solutions to some equations are constructed with the help of symbolic computation system Mathematica.
给出一种辅助方程的解,并通过一种函数变换,借助符号计算系统Mathematica构造了两类变系数KdV方程、广义变系数KdV方程和带有强迫项的KdV方程的新的类孤子解和三角函数波解。
3.
Then the solutions of the equations istructureed by more wide assuming, and lastly we get new soliton-like solutions to the Broer-Kaup equations.
本文通过适当变换,将Broer-Kaup方程组变为一个简单的方程,然后利用比较广泛的假设,用Riccati方程的解来构造该方程的解,得到了Broer-Kaup方程组的新类孤子解。
4) soliton-like solutions
类孤子解
1.
New soliton-like solutions to the (2+1)-dimensional dispersive long wave equations;
(2+1)维色散长波方程的新的类孤子解
2.
Based on that,several exact soliton-like solutions for the variable coefficient nonlinear Schrdinger equation for optical fiber are obtained.
通过求解非线性常微分方程,获得了光纤中变系数非线性Schrdinger方程的精确类孤子解。
3.
With the aid of the symbolic computation softwares Maple, we solve the (2+1)-dimensional Boussinesq equation by doing proper unknown functions ansatz of the seed solutions of the equation and performing mathematical calculations to obtain a series of exact solutions,which contain soliton-like solutions and rational solutions.
这些解包括类孤子解和有理解 ,其中有的解中含有任意函数 ,当任意函数取特殊函数时 ,这些解具有丰富的结构 ,有些结构可能对物理现象的研究是有意义的 。
5) solitary wave solutions
孤立波解
1.
Periodic wave solutions and solitary wave solutions to (2+1)-dimensional KdV equation;
(2+1)维KdV方程的周期波解和孤立波解
2.
Exact solitary wave solutions of the coupled K d V equations;
一个耦合KdV方程组的精确孤立波解
3.
New solitary wave solutions for (n+1) dimensional Klein-Gordon-Schrdinger equations;
(n+1)维Klein-Gordon-Schrdinger方程组新的孤立波解
6) solitary wave solution
孤波解
1.
Conditional stability of the solitary wave solutions for the generalized compound KdV equation and generalized compound KdV-Burgers equation;
广义组合KdV方程与广义组合KdV-Burgers方程孤波解的条件稳定性
2.
A new solitary wave solution to fisher equation;
Fisher方程的新孤波解
3.
The new solitary wave solutions to KdV-Burgers equation;
KdV-Burgers方程的新的孤波解
补充资料：小孤山人类遗址
又称“仙人洞”。坐落鞍山海城东南45公里处，是天然石洞。洞口宽敞，洞宽4.9米，纵深22.5米。洞门上方刻有"王洞"二字，据查是明万历年间所立。洞中挖掘出旧石器时代晚期与新石器时代文化遗迹和遗物，距今约4万年至1万年，与北京周口店山顶洞人文化相似，填补了鞍山地区旧石器时代文化空白。
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