1) Stochastic soliton-like solution
随机类孤子解
2) stochastic soliton solution
随机孤立子解
1.
The auto-Bcklund transformation and stochastic soliton solutions of the Wick-type stochastic Burgers equation are shown by the homogeneous balance and Hermite transform.
为了给出随机Burgers方程的精确解,只讨论变系数Burgers方程的系数经白噪声W(t)=B·(t)扰动所得的Wick型随机Burgers方程(B(t)是Brown运动),利用齐次平衡原理和Hermite变换给出了Wick型随机Burgers方程的自Bcklund变换和随机孤立子解的精确表达式,同时也研究了一般情形的Wick型随机Burgers方程。
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) multi-soliton like solutions
类多孤子解
6) Wick type stochastic soliton
Wick型随机孤子
1.
A B?cklund transformation and exact solutions of 2-dimensional Wick type stochastic soliton breaking equation;
2维-Wick型随机孤子破裂方程的B?cklund变换和精确解
补充资料：随机数和伪随机数
随机数和伪随机数
random and pseudo-randan numbers
随机数和伪随机数【喇间佣1 al川牌”山一喇闭..m.山娜;cJI了，a如曰e”nce，口oc月卿成.以叹“c月a】 数亡。(特别，二进制数:。)，其顺序出现，满足某种统计正则性(见概率论(probability Uleory)).人们是这样区别随机数(mndomn切mbe比)和伪随机数(PSeudo一mn由mn切mbe岛)的，前者由随机的装置来生成，而后者是用算术算法构造的.总是假设(出于较好或较差的理由)所得(或所构造)的序列具有频率性质，这些性质对于具有分布函数F(z)的某随机变量心独立实现的一个序列来说是“典型的”;因此人们称作根据规律F(习分布的(独立的)随机数.最经常使用的例子为:在区间【O，l]上均匀分布的随机数亡。，尸(亡。
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