Modified Improved Boussinesq方程的扩展的椭圆函数展开解(II)  

Extended elliptic function expansion solution to Modified Improved Boussinesq equation(II)

作　　者：肖亚峰[1] 薛海丽 张鸿庆[2] 

机构地区：[1]华北工学院,山西太原030051 [2]大连理工大学应用数学系,辽宁大连116024

出　　处：《兰州理工大学学报》2005年第2期120-122,共3页Journal of Lanzhou University of Technology

基　　金：国家重点基础研究发展规划项目(G1998030600);国家自然科学基金(10072013)

摘　　要：将扩展的椭圆函数展开法应用到Modified Improved Boussinesq方程,得到该方程的16 组Jacobi椭圆函数双周期解.在此基础上进一步改进该方法,并再次将该方法应用到Modified Improved Boussinesq方程中,得到了该方程8组新的双周期解.新的方法能被有效地应用到别的非线性偏微分方程中.Sixteen families of Jacobian elliptic function double-periodic solutions of Modified Improved Boussinesq equation are found by using extended elliptic function expansion method.This method is further improved and then used for solving the Modified Improved Boussinesq equation.Eight families of new double-periodic solutions are obtained.The new method can be more effectively applied to other nonlinear differential equations.

关 键 词：改进的Jacobi椭圆函数展开法 吴消元法 精确解 

分 类 号：O175.2[理学—数学]