摘要
在原Jacobi椭圆函数展开法的基础上,引进其余几种Jacobi椭圆函数———Glaisher符号,扩展了Liu等提出的Jacobi椭圆函数展开法.以5阶mKdV方程为例,借助数学软件Mathematica求得了其13组新精确周期解,这些解在极限条件下可退化为孤立波解和三角函数解.
Based on Jacobi elliptic function expansion method,several Jacobi elliptic functions—Glaisher symbol are introduced,which modify Lius Jacobi elliptic function expansion method.Taking Itos 5th-order mKdV equation as a example,with aid of computer algebraic system—Mathematica, 13 families of new exact periodic solutions are obtained.These solutions can degenerate into solitary wave solutions or triangular function formal solutions.
出处
《西北师范大学学报（自然科学版）》
CAS
2004年第4期40-44,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10247008
10475074)
西北师范大学科技创新工程资助项目(NWNU-KJCXGC-215)
