1) solitary travelling wave solution
孤立行波解
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) 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。
补充资料：解行住
【解行住】
解即解了，行即修行。谓别教菩萨于十回向位中，修习中观，为入初地之方便，故名解行住。（十回向者，救一切众生离众生相回向、不坏回向、等一切佛回向、至一切处回向、无尽功德藏回向、随顺平等善根回向、随顺等观一切众生回向、真如相回向、无缚解脱回向、法界无量回向也。）
解即解了，行即修行。谓别教菩萨于十回向位中，修习中观，为入初地之方便，故名解行住。（十回向者，救一切众生离众生相回向、不坏回向、等一切佛回向、至一切处回向、无尽功德藏回向、随顺平等善根回向、随顺等观一切众生回向、真如相回向、无缚解脱回向、法界无量回向也。）
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