Equal Width波方程的各种椭圆函数周期解和孤子解  

All Kinds of the Periodic Solutions of Jacobian Elliptic-function Type and the Soliton Solutions for Equal Width Wave Equation

作　　者：赵云梅[1] 芮伟国[1] 

机构地区：[1]红河学院数学系,云南蒙自661100

出　　处：《四川师范大学学报（自然科学版）》2008年第2期190-193,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10571062);云南省教育厅自然科学重点基金(5Z0071A)资助项目

摘　　要：结合齐次平衡法和F-展开法,并利用Riccati方程的结果,直接给出了Equal Width波方程的各种椭圆函数周期解.当椭圆函数的模m分别趋于1和0时,利用这些椭圆函数周期解,得到了Equal Width波方程的各种孤子解和三角函数周期解,其解的数量超过了已有文献.In this paper, combining the homogeneous balance method and F-expansion method, and using the： results of Riccati equation, we give all kinds of periodic solutions of Jacobian elliptic-function type directly. As the module of Jacobian elliptic-function tends to 1 and 0 respectively, using these periodic solutions of Jacobian elliptic-function type, we obtain all kind of soliton solutions and triangular-function solutions. The obtained quantity of solutions is more than the those in old references.

关 键 词：Equal Width波方程 齐次平衡法 F-展开法 孤立波解 周期波解 

分 类 号：O175.2[理学—数学]