| Zhiber-Shabat方程的孤立波解与周期波解 |
| |
| 引用本文： | 赵云梅,芮伟国.Zhiber-Shabat方程的孤立波解与周期波解[J].纯粹数学与应用数学,2008,24(2). |
| |
| 作者姓名： | 赵云梅 芮伟国 |
| |
| 作者单位： | 红河学院数学系,云南,蒙白,661100;红河学院数学系,云南,蒙白,661100 |
| |
| 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.
|
| 关 键 词： | Zhiber-Shabat方程 齐次平衡法 F展开法 周期波解 孤立波解 |
Solitary wave solutions and periodic wave solutions for Zhiber-Shabat equation |
| |
| ZHAO Yun-mei,RUI Wei-guo.Solitary wave solutions and periodic wave solutions for Zhiber-Shabat equation[J].Pure and Applied Mathematics,2008,24(2). |
| |
| Authors: | ZHAO Yun-mei RUI Wei-guo |
| |
| Institution: | ZHAO Yun-mei RUI Wei-guo (Department of Mathematics,Honghe University,Mengzi,661100,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | Zhiber-Shabat equation homogeneous balance method F-expansion method periodic wave solutions solitary wave solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
