By the orbit in the phase portraits, different kinds of solitary wave, kink wave and periodic wave solutions are obtained.
通过相图中的各种轨道，获得了孤立波，扭子波和周期波的精确解。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
When the integral constant is zero, the existence of smooth solitary wave solutions, uncountably infinite, many smooth periodic wave solutions, and kink and anti-kink wave solutions are proved.
在积分常数为零的条件下，证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解。
Some new exact elliptic periodic solutions of the dispersive long wave equations in (2 + 1) dimensions are obtained by using the method.
在此基础上，得到2 +1维耗散长波方程组的椭圆周期解。
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。
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。
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