1) compacton
紧孤立波解
1.
By using seven anaszs,abundant solutions including compacton,smooth solitary solution,peakon,diaplacement peakon and periodic solution are obtained.
通过7种拟设得到了该方程丰富的精确解:紧孤立波解(compacton),多重紧孤立波解,光滑孤立波解,尖峰孤立波解(peakon),移动尖峰孤立波解,周期解等,特别是得到了一类新型孤立波解即具有尖点或者奇异点的双孤立波解。
2) 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
3) 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
4) 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。
5) 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。
6) multi-compacton solutions
紧孤立子解
补充资料：紧可解流形
紧可解流形
soft manifold, compact
紧可解流形〔劝h Irla抽创d，卿钾d或comPact sofv-mall而ld;pa3pe川加Moe Muoro06pa3oe」 连通可解L记群的一个紧的商空间(见可解lje群(球grouP，solvable);然而，有时紧性不是必须的).一个特殊的情形是诣零流形(成仃皿川-fold).与后者相比，一般情况可考虑得更复杂，但对它也存在完全结构理论.【补注】也见可解流形(solv mainfokl).
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