利用计算软件Maple研究(2+1)维ZK方程的精确行波解  

Study on the Exact Travelling Wave Solutions of the Nonlinear(2+1)-Dimensional ZK Equation by Using of the Symbolic Computation Software Maple

作　　者：董仲周[1] 吴国健[1] 王青良[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454003

出　　处：《江西科学》2015年第3期358-361,共4页Jiangxi Science

基　　金：国家级大学生创新创业计划项目(201310460008)

摘　　要：借助于计算软件Maple,利用辅助函数法求解(2+1)维ZK方程,把求解非线性发展方程的问题转为求解代数方程组的问题,进而得到方程的七种精确行波解,其中解的形式包括双曲函数解、椭圆函数解、三角函数和幂函数解。最后,利用Maple软件给出了某些精确解的图形。With the help of the symbolic computation software Maple ,when auxiliary functions meth- od is used to solve the （2 ＋ 1 ） -dimensional ZK equation, solving the nonlinear evolution equations of the problem will be transformed into solving algebraic equations. By the further application of the Matlab software get ten exact travelling wave solutions,which contain elliptic function solutions, trigo- nometric function solutions and power function solutions, some of which solution or double-track type. At last, using the Maple software we give some figures of the obtained solutions.

关 键 词：辅助函数法 ZK方程 精确行波解 

分 类 号：O175.29[理学—数学]