摘要
提出改进的Jacobi椭圆函数法并应用到非线性Klein-Gordon方程,得到新的解析周期解。在极限情况下,可获得相应的三角函数解或孤立波解。此过程可在计算机上实现,还可用来求其它的非线性方程(组)。
Improved Jacobian elliptic function expansion method is applied to construct the explicit exact solutions of the nonlinear Klein - Gordon equation. Many new periodical solutions are obtained by this method. In limited cases these solutions are degenerated to the corresponding solitarywave solutions or trigonometric function solutions. Tiffs process can be computerizable, and be applied to solve others nonlinear equation(s).
出处
《上饶师范学院学报》
2009年第6期36-40,共5页
Journal of Shangrao Normal University
关键词
改进的Jacobi椭圆函数展开法
吴消元法
周期解
Improved Jacobian elliptic function expansion method
Wu- Ellimination method
the explicit exact solutions.