| 2N+1阶KdV型方程的孤子解和周期解 |
| |
| 引用本文： | 闫振亚. 2N+1阶KdV型方程的孤子解和周期解[J]. 烟台大学学报(自然科学与工程版), 2000, 13(2): 86-90 |
| |
| 作者姓名： | 闫振亚 |
| |
| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116024 |
| |
| 基金项目： | 教育部博士点基金! (980 14119) |
| |
| 摘 要： | 借助于Ｍａｔｈｅｍａｔｉｃａ软件，通过引入３种新的假设，获得了２Ｎ＋１阶ＫｄＶ型方程的孤子解和两种周期波解，并得到了２Ｎ＋１阶ＫＰ型方程的３种显式精确解，解决了文献中提出的问题，此外，作为２Ｎ＋１阶ＫｄＶ型方程的特例，如５阶ＫｄＶ方程和Ｓｃｈａｍｅｌ型的ＭＫｄＶ方程，也得到了相应的精确解。
|
| 关 键 词： | KdV型方程 孤子解 周期解 |
Soliton Solutions and Periodic Solutions for the 2N+1 Order KdV-type Equations |
| |
| YAN Zhen-ya. Soliton Solutions and Periodic Solutions for the 2N+1 Order KdV-type Equations[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2000, 13(2): 86-90 |
| |
| Authors: | YAN Zhen-ya |
| |
| Abstract: | WT5BZ]In this paper, with the aid of Mathematica, exact soliton solutions and two kinds of periodic wave solutions are obtained for the 2N 1 order KdV type equations by using three types of new ansatzes, and three kinds of explictic exact solutions are also found for the 2N 1 order KP equations. These results solve the problem presented in the known reference. In addition, as the special cases of 2N 1 order KdV equations, five order KdV equation, seven order KdV equation and Schamel type MKdV equation also have the corresponding exact solutions. |
| |
| Keywords: | KdV type equation soliton solition periodic solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
