广义(2+1)维Boussinesq方程的新的椭圆函数有理形式解  

New elliptic function solution to generalized (2+1)-dimensional Boussinesq equation in rational form

作　　者：肖亚峰[1] 薛海丽[2] 

机构地区：[1]中北大学数学系,山西太原030051 [2]中北大学软件学院,山西太原030051

出　　处：《兰州理工大学学报》2012年第2期136-141,共6页Journal of Lanzhou University of Technology

基　　金：国家重点基础研究专项基金(2004CB318000);国家自然科学基金青年基金(10901145)

摘　　要：基于符号计算软件Maple和椭圆方程,提出构造非线性发展方程有理形式解的改进的椭圆方程展开法,该方法可有效地构造出更多新的椭圆函数形式解.利用该方法研究广义(2+1)维Boussinesq方程并获得该方程的一系列新的精确解.Based on the computerized symbolic system Maple and elliptic equation,an improved expansion method of elliptic equation was presented for constructing a rational solution to nonlinear evolution equation.The proposed method was more effective to construct new and more elliptic function solutions for some NEEs.Making use of this method,the generalized（2＋1）-dimensional Boussinesq equation was studied and a series of new exact solutions to this equation were obtained.

关 键 词：孤立子 改进的椭圆方程展开法 广义(2+1)维Boussinesq方程 非线性发展方程 

分 类 号：O175.2[理学—数学]