含频散项的k(3,2)方程的周期尖波和孤立波解
Exact periodic cusp wave and soliton solutions of the osmosis K(3,2) equation

利用动力系统的定性分析来研究k(3,2) 方程 u_{t}+(u^{3})_{x}+(u^{2})_{xxx}=0 的分支问题, 并且利用 maple 软件进行数值模拟得到行波解系统相应的相图. 然后通过积分计算得到周期尖波和孤立波的精确解表达式. 它补充了方程k(3,2) 的研究结果.
The bifurcation of K(3,2) equation u_{t}+(u^{3})_{x}+(u^{2})_{xxx}=0 with osmosis dispersion is discussed and investigated by means of the qualitative analysis methods of dynamical system. Illustrative phase portraits corresponding to traveling wave system, after numerical simulation by maple programs, are presented. Expressions of a periodic cusp wave and implicit expression of soliton are explicitly given. It is a supplement that enriches results of K(3,2)