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.
出处
《兰州理工大学学报》
CAS
北大核心
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)
关键词
改进的Jacobi椭圆函数展开法
吴消元法
精确解
Improved Jacobian elliptic function expansion method
Wu-elimination method
exact solutions
