一般变换下双Jacobi椭圆函数展开法及应用  

Double Jacobian elliptic function expansion method under a general function transform and its applications

作　　者：吴国将[1] 韩家骅[1] 史良马[1] 张苗[1] 

机构地区：[1]安徽大学物理与材料科学学院,合肥230039

出　　处：《物理学报》2006年第8期3858-3863,共6页Acta Physica Sinica

基　　金：安徽省自然科学基金(批准号:01041188);安徽省省级精品课程基金资助的课题.~~

摘　　要：将行波变换下修正的双Jacobi椭圆函数展开法推广到范围广泛的一般函数变换下进行.利用这一方法求得了一类非线性方程更多新的周期解,这些解包括了在行波变换下所求得的周期解.A modified double Jaeobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a travelling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. Some new exact periodic solutions are obtained by this method which include previous solutions, replenishing the known results of the equations.

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]