Broer-Kau-Kupershmidt方程组的对称、约化和精确解*

摘要

In this paper, using the modified Clarkson–Kruskal direct method, the symmetries and the reductions of (2+1) dimensional Broer-Kau-Kupe-rshmidt (BKK) are obtained. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions hyperbolic functions, the trigonometric functions, the power series solution, and the Airy function solution.%　　利用修正的CK直接方法得到了Broer-Kau-Kupershmidt (简写为BKK)方程组的对称、约化，通过解约化方程得到了该方程组的一些精确解，包括双曲函数解、三角函数解、有理函数解、艾里函数解、幂级数解和孤立子解等。