(2+1) 维Broer-Kau-Kupershmidt方程一系列新的精确解

借助于符号计算软件Maple，通过一种构造非线性偏微分方程(组)更一般形式精确解的直接方法即改进的代数方法，求解(2+1) 维 Broer-Kau-Kupershmidt方程，得到该方程的一系列新的精确解，包括多项式解、指数解、有理解、三角函数解、双曲函数解、Jacobi 和 Weierstrass 椭圆函数双周期解. 关键词： 代数方法 (2+1) 维 Broer-Kau-Kupershmidt 方程 精确解 行波解

A series of new exact solutions to the (2+1)-dimensional Broer-Kau-Kupershmidt equation

With the aid of computer symbolic systems Maple, and by an improved algebraic method which is used to construct a series of more general exact solutions to nonlinear differential equation or coupled equations, we have solved the (2+1)-dimensional Broer-Kau-Kupershmidt equation, and obtained a number of new exact solutions including polynomial solutions,exponential solutions, rational solutions, triangular periodic solutions,hyperbolic solutions, and Jacobi and Weierstrass doubly periodic wave solutions.