1) 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。
2) 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。
3) 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。
4) 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。
5) Double periodic wave solutions
双周期行波解
6) anti periodic traveling wave solutions
反周期行波解
1.
Using variational methods,we study the existence of the anti periodic traveling wave solutions to a forced two dimensional generalized KdV equation.
用变分法研究了受迫二维广义ＫｄＶ方程的反周期行波解的存在性。
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