一般变换下Klein-Gordon方程新的精确解  

The new exact solutions to Klein-Gordon equation under a general function transform

作　　者：吴国将[1] 韩家骅[1] 史良马[1] 

机构地区：[1]安徽大学物理与材料科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2006年第1期20-23,共4页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省科技厅年度重点基金资助项目(01041188);安徽省省级重点课程"普通物理"建设基金资助项目

摘　　要：将行波变换下修正的双Jacob i椭圆函数展开法推广到范围非常广泛的一般函数变换下进行,利用这一方法求得了K le in-Gordon方程的更多新的周期解,补充了前面研究的结果.当模m→1或m→0时,这些解退化为相应的孤波解、三角函数解和奇异的行波解.A modified double Jacobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a traveling wave transform, is proposed to construct the exact periodic solutions of nonlinear evolution equation. It is shown that some new exact periodic solutions of nonlinear Klein - Gordon equation are obtained by using this method and the known results of the Klein-Gordon equation are replenished. When the modulus m→1 or m →0 , these solutions degenerate into homologous separate wave solution, trigonometric function solution and strange traveling wave solution.

关 键 词：JACOBI椭圆函数展开法 非线性发展方程 函数变换 周期解 

分 类 号：O411.1[理学—理论物理]