Zhiber-Shabat方程的孤立波解与周期波解  

Solitary wave solutions and periodic wave solutions for Zhiber-Shabat equation

作　　者：赵云梅[1] 芮伟国[1] 

机构地区：[1]红河学院数学系,云南蒙白661100

出　　处：《纯粹数学与应用数学》2008年第2期283-288,共6页Pure and Applied Mathematics

基　　金：云南省教育厅自然科学基金(06Y147A)

摘　　要：结合齐次平衡法原理并利用F展开法,再次研究了Zhiber-Shabat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或0时,利用这些椭圆函数周期解,得到了Zhiber-Shabat方程的各种孤子解和三角函数周期解,从而丰富了相关文献中关于Zhiber-Shabat波方程的解的类型.Combining the homogeneous balance and F-expansion method, we study diffrent kinds of periodic solutions of Jacobi elliptic-function for the Zhiber-Shabat equation again. As the module of Jacobi elliptic- function tends to 1 or 0 respectively, by these periodic solutions of Jacobian elliptic-function , we obtain all kind of solitary solutions and triangular-function periodic solutions. The solution types of corresponding to literatures of Zhiber-Shabat equation were enriched.

关 键 词：ZHIBER-SHABAT方程 齐次平衡法 F展开法 周期波解 孤立波解 

分 类 号：O175.2[理学—数学]