1) periodic wave solution
周期波解
1.
In particular,Kink Compacton(solutions,) solitary wave solution,periodic wave solution,solitary pattern solution and Compacton solutions with one and two peaks are developed.
讨论了在各种不同的非线性参数条件下,得到单峰、双峰Compacton解、斑图解、孤立波解、周期波解以及K ink Compacton解。
2.
One type of five-order fully nonlinear dispersive equations such as u~(m-1)u_t±a(u~n)_x+(b(u~k)_(xxx)+)c(u~q)_(xxxxx)=0(nkq≠0) are studied and compacton solutions, periodic wave solutions and solitary solutions are obtained by using ansatzs method.
研究一类五阶充分非线性色散方程:um-1ut±a(un)x+b(uk)xxx+c(uq)xxxxx=0(nkq≠0), 用拟设法求出它的Compacton解和周期波解及其孤立波解,讨论不同非线性参数情况下解的变化。
3.
Several exact analytical solutions are obtained for the combined KdV mKdV equation u t+2αuu x+3βu 2u x+γu xxx =0 by using a new function transformation, which contain bell solitary wave solution, kink solitary wave solution, new combining bell and kink solitary wave solution and periodic wave solutions.
利用新的函数变换 ,得到了组合KdV mKdV方程ut+2αuux+3βu2 ux+γuxxx=0的若干精确解析解 ,其中包含钟状孤波解、扭状孤波解 ,新的钟状和扭状组合型的孤波解以及周期波解 。
2) periodic wave solutions
周期波解
1.
Solitary wave solutions and periodic wave solutions for Zhiber-Shabat equation;
Zhiber-Shabat方程的孤立波解与周期波解
2.
The periodic wave solutions of the integrable Davey-Stewartson equations
一类可积的Davey-Stewartson方程组的周期波解
3.
Then,the bifurcation phase portraits of the traveling wave system are drawn,and the special orbits corresponding to the explicit periodic wave solutions are detected by numerical simulation.
用动力系统分支方法和数值模拟的方法去寻找广义CH方程的显式周期波解,首先建立与非线性偏微分方程对应的平面系统,其次绘制出该系统的的分支相图并做计算机数值模拟,确定分支相图中与显式周期波解有关的特殊轨道,最后通过这种特殊轨道及椭圆函数、椭圆积分来获得显式周期波解。
3) periodic travelling wave solution
周期行波解
1.
By using the theory of bifurcations of planar dynamical systems to the coupled Jaulent-Miodek equations,the existence of smooth solitary travelling wave solutions and uncountably infinite many smooth periodic travelling wave solutions is studied and the bifurcation parametric sets are shown.
在给定的参数条件下,得到了该方程光滑孤立波解及周期行波解的所有可能的显式表达式。
4) periodic traveling wave solution
周期行波解
1.
The existence of unbounded traveling wave solutions and uncountable infinite periodic traveling wave solutions are proved.
运用平面动力系统理论、分支理论和直接方法,研究了广义双耦合sinh-cosh-Gordon方程,证明该方程存在无界行波解和不可数无穷多光滑周期行波解。
2.
We study the KdV equation with distributed delayUt+(f*U)Ux+τUxx+Uxxx=0,obtain the periodic traveling wave solutions for this delay equation when the delay kernal is ″weak″ generic kernal.
将研究具有分布时滞的K dV方程Ut+(f*U)Ux+τUxx+Uxxx=0,得出当时滞核函数为弱一般核时,时滞方程周期行波解的存在性。
3.
Some existence theorems of periodic traveling wave solutions for this kind of generalized BBM equation are given.
本文引入和讨论一类新的广义BBM方程，得到了关于这类广义BBM方程周期行波解的一些存在性定理。
5) traveling wave solution
周期行波解
1.
Existence and uniqueness of periodic traveling wave solution to two-dimensional generalized Kdv-Burgers equation;
受迫广义二维Kdv-Burgers方程周期行波解的存在唯一性
2.
This paper considers the periodic traveling wave solution for the two-dimensional generalized Korteweg-de Vries Burgers equation with a forcing function,the existence and uniqueness of periodic traveling wave solution are proved by Schauder s fixed point theorem,and the estimating expressions for this periodic traveling wave solution are given.
本文研究具有受迫性的广义二维KdV-Burgers方程的周期行波解,为了获得周期行波解的存在唯一性定理,使唤用特定系数法和Schauder不动点定理获得了受迫广义KdV-Burgers方程周期行波解存在唯一性的条件。
6) periodic traveling wave solutions
周期行波解
1.
Using variational methods,we study the existence of the periodic traveling wave solutions to ZK equation.
用变分方法研究一类ZK型方程周期行波解的存在性,不必要求非线性项f(u)具有单调性。
补充资料：庞加莱周期解
见周期解理论。
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