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、7阶KdV方程和Schamel型的MKdV方程 。
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.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2000年第2期86-90,共5页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
教育部博士点基金! (980 14119)
关键词
KDV型方程
孤子解
周期解
KdV type equation
soliton solition
periodic solution
