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1)  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
2)  solitary wave solutions
孤波解
1.
Conditional stability of the solitary wave solutions to BBM type equations and BBM-Burgers type equations;
BBM型方程与BBM-Burgers型方程孤波解的条件稳定性
2.
In order to seek for new solitary wave solutions, a simple equationis obtained by taking a transformation on (2+1)-dimensional dispersive long wave equations.
为了求高阶 ( 2 +1 )维色散长波方程的精确解 ,先通过变换将其变为一个简单的方程 ,然后利用各种方法求该方程的精确解 ,最后再通过变换得到了高阶 ( 2 +1 )维色散长波方程的若干新孤波解
3.
These solutions include solitary wave solutions, singular travelling wave solutions, and the periodical triangular function wave solutions.
这些解包括孤波解、奇异行波解和周期的三角函数型波解 。
3)  Soliton solution
孤波解
1.
As its special case, Soliton solutions and periodic solutions are respectively got as well.
借助于Mathematical和吴方法 ,找到了SolitonBreaking方程新的显式精确解 ,作为其特殊情形 ,分别得到了它的孤波解和周期解 。
2.
We have got the soliton solution of dark-soliton pulses with Raman effect.
应用变分法,讨论喇曼效应对光纤中暗孤子传输特性的影响,导出了暗孤子参数演化的方程组,并得出了存在喇曼效应时暗孤子的孤波解
3.
We have got the soliton solution of NLS equation with Raman effect.
应用变分法,讨论了Raman效应对单模光纤中类明孤子传输特性的影响,导出了类明孤子参数演化的方程组,并得出了存在Raman效应时NLS方程的孤波解
4)  solitary solution
孤波解
1.
By constructing auxiliary differential equations,new multiple exact solutions of the Lienard equations with fifth-order stronger nonlinear terms were obtained,including solitary solutions,trigonometric function solutions,Jacobian elliptic function solutions.
通过构造辅助方程,求出了具五次强非线性项的L ienard方程的多种新精确解,包括孤波解、三角函数解、Jacob i椭圆函数解。
2.
In this paper,we study nonlinear evolution system by constructing auxiliary differential equations, and find the exact solutions of long-short wave interaction equations,which contain solitary solutions, trigonometric function solutions,Jacobian elliptic function solutions,and rational solutions.
通过构造辅助方程来研究复非线性演化方程组的求解问题,得到了长短波相互作用方程的多种类型的精确解,包括孤波解、三角函数解、椭圆函数解、幂函数解,其中许多解是新解。
3.
Then the periodic solution and the solitary solution are obtained.
运用幂级数展开法求解了动脉分支非线性血液脉搏波方程,首先将其化为KdV(Korteweg-de Vries)方程和混合的KdV-mKdV方程(也称为Gardner方程),进而获得了该系统的周期波解和孤波解
5)  soliton wave solution
孤波解
1.
Study on soliton wave solutions of nonlinear wave equation with a new method;
构造非线性波动方程孤波解的一种新方法
2.
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 。
3.
By means of the method, sixteen kinds of exact travelling wave solutions for R-L-W equation are obtained, which contain soliton wave solutions and periodic solutions.
用此方法,得到了R-L-W方程的十六种精确行波解,其中包括孤波解和周期解。
6)  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-Schrdinger equations;
(n+1)维Klein-Gordon-Schrdinger方程组新的孤立波解
补充资料:孤人
1.孤独无依的人。
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