(2+1)维ZK方程的对称约化及其精确解  

Symmetry Reduction of (2+1)-dimension ZK Equation and Its Exact Solutions

作　　者：盖立涛[1] 苏道毕力格[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2015年第3期225-229,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自治区高等学校科学技术研究项目(No.NJZY12056);内蒙古自治区自然科学基金项目(No.2014MS0114)

摘　　要：借助于符号计算系统Mathematica获得(2+1)维ZK方程的对称形式并对其进行约化.在约化后的几种情况中选取了一个方程,利用推广的简单方程方法进行求解,得到了新的精确行波解;且分别以含两个任意参数的双曲函数、三角函数及有理函数等三种形式表示之,其中双曲函数表示的行波解中参数取特殊值时可得到孤波解.With the aid of symbolic computation system Mathematica,the symmetry of（2＋1）-dimension ZK equation is obtained and also is reduced.The new exact traveling wave solutions of a kind of constant coefficient equations,which are chosen from several cases of reduction,are constructed by using the extended simplest equation method.The exact traveling wave solutions with double arbitrary parameters,are expressed by the hyperbolic functions,the trigonometric functions and the rational functions respectively.When the parameters are taken as special values,some solitary wave solutions are derived from the hyperbolic function solutions.

关 键 词：对称 吴-微分特征列集算法 推广的简单方程方法 精确解 (2+1)维ZK方程 

分 类 号：O175.29[理学—数学]