利用平面动力系统的分岔理论研究了(2+1)维Broer-Kaup-Kupershmidt (BKK )方程。给出了方程在不同的参数区域所对应的所有可能存在的行波解,并得到了方程在一些特殊的参数条件下的显式精确孤立波解及周期波解的表达式。
By using the bifurcation theory of planar dynamical systems ,the traveling wave solu-tions of the (2+1)-dimensional Broer-Kaup-Kupershmidt(BKK) equation are investigated .All possible traveling wave solutions are given corresponding to different parameter regions and some exact explicit parametric representations of solitary wave solutions and periodic wave so-lutions are obtained under special parametric conditions .