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

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

作　　者：智红燕[1] 王琪[1] 张鸿庆[1] 

机构地区：[1]大连理工大学应用数学系,大连116024

出　　处：《物理学报》2005年第3期1002-1008,共7页Acta Physica Sinica

摘　　要：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 .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.

关 键 词：精确解 (2+1)维 JACOBI和 三角函数解 双周期解 直接方法 非线性偏微分方程 代数方法 理解 一般形式 

分 类 号：O241.8[理学—计算数学]