1) Solitary wave soltary
钟状孤立波解
2) bell-profile regular solitary wave solution
钟状正则孤波解
1.
On the basis of it,not only the sech2-type bell-profile regular solitary wave solution but also the csch2-type singular travelling wave solution with impo.
试探函数法求解非线性数学物理中一个非常著名的非线性偏微分方程—广义KdV方程,求得其一般形式的指数函数解,据此不但求得了广义KdV方程的sech2型钟状正则孤波解,而且求得了其csch2型奇异行波解,最后,利用一些熟知的数学关系式,又求得其若干其它显式精确解,包括三角函数型周期波解等。
2.
On the basis of it, not only the sech2-type bell-profile regular solitary wave solution but also the csch2-type singular travelling wave solution with im.
对文献《用试探函数法求KdV方程的孤子解》中所提出的试探函数法进行了两点明显的改进,并把它用于求解非线性数学物理中一个非常著名的非线性偏微分方程-Boussinesq方程,从而简洁地求得了其一般形式的指数函数解,据此不但求得了Boussinesq方程的sech2型钟状正则孤波解,而且求得了其csch2型奇异行波解,最后,利用一些熟知的数学关系式,又求得了其若干其它显式精确解,包括三角函数型周期波解等,所得结果包含了已有的结果和一些新的或更一般的结果。
3) 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
4) Solitary wave solution
孤立波解
1.
Compacton solution and solitary wave solution for a class of nonlinear intensity Boussinesq equation;
一类非线性强度Boussinesq方程的Compacton解和孤立波解
2.
Exact solitary wave solutions for the Gross-Piteavskii equation with time-dependent linear potential;
含时线性势Gross-Piteavskii方程的孤立波解
3.
The solitary wave solutions with varying velocity for the (3+1)-dimensional variable-coefficients ZK equation;
变系数(3+1)维ZK方程的变速孤立波解
5) solitary solution
孤立波解
1.
New periodic and solitary solution for the generalized fifth KdV equation;
广义五阶KdV方程的新的周期波解与孤立波解
2.
Envelope periodic and solitary solutions of Davey-Stewartson equation
Davey-Stewartson方程组的包络周期解和孤立波解
3.
The result of reductions gives rise to abundant solutions: Compacton solutions, peakon solutions,kink solutions, and bell-shaped solitary solutions.
在3种规则的要求下得到了广义Camassa-Holm方程的对称性约化,特别研究了C(m,1,1)的对称性约化,约化的结果得到了丰富的解:紧孤立波解(Compacton),尖峰孤立波解(peakon),扭结解和光滑的钟型孤立波解。
6) soliton solution
孤立波解
1.
For example SK equation,using simple equation and Painleve test,we get many solutions of SK equation,including soliton solutions and some periods solutions.
利用已知精确解的简单方程求解高阶非线性发展方程,以SK方程为例,利用简单方程和Painleve截断展开法,求出该方程的多组行波解,包括孤立波解和类孤立波解,以及若干周期函数解,这种方法还可以用来求解其他高阶非线性发展方程。
2.
Some new elliptic periodic solutions and soliton solution of variable coefficient KdV-MKdV equation with three arbitrary functions by are found Jacobi elliptic function expansion method.
运用Jacobi椭圆函数展开法求得了具有3个任意函数的变系数KdV_MKdV方程的新椭圆周期解及孤立波解。
补充资料：波梨钟
【波梨钟】
（物名）祇园精舍无常院之钟也。(参见：钟)
（物名）祇园精舍无常院之钟也。(参见：钟)
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