一类非线性发展方程的新精确解  

NEW EXACT SOLUTION TO A CLASS OF NONLINEAR EVOLUTION EQUATIONS

作　　者：边春泉[1] 庞晶[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2009年第4期246-251,共6页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：内蒙古高等学校科学研究基金项目(批准号:NJZY07066)

摘　　要：本文通过行波变换将改进的(2+1)维ZK方程和(2+1)维破裂孤子方程约化为标准椭圆方程,再由标准方程的行波解结构和参数假设法并借助计算机代数系统M athem atica求出原方程的解,从而得到了方程的多组精确孤立波解.与其他方法相比,这种方法简单有效,也可用于寻找其他非线性发展方程的精确孤立波解.In this paper, the extended （2 ＋ 1 ）-dimensional ZK and （2 ＋ 1）-dimensional breakingsoliton equations are converted into as-standard elliptic equations through wave transformations. Exact solutions of the equations are inversed by means of the structure of standard elliptic equation＇s wave solutions and the parameter hypothesis method and with the aid of computer algebra system ＂Mathematica＂. More new exact solutions of the equations are then obtained. This method is effective and highly accurate compared with other methods. It can also he used to find new exact solutions for other nonlinear evolution equations.

关 键 词：改进的(2+1)维ZK方程 (2+1)维破裂孤子方程 新精确解 参数假设法 标准椭圆方程 

分 类 号：O175.29[理学—数学]