-
提出了一种由钟状光滑孤子(或孤波)解构造尖峰孤子解的方法,即根据已知的钟状孤子(或孤波)解的形式直接拟定尖峰孤子解的形式,然后确定拟解中的待定参数,得到具体的解式.通过5个非线性方程(组)对该方法进行了验证, 表明方法是可行的.钟状光滑孤子(或孤波)解与尖峰孤子解这两种性质完全不同的解可以同时存在,尖峰孤子解的表达式包含了钟状光滑孤子(或孤波)解,后者可以作为前者的特例.
-
关键词:
- 非线性波方程/
- 钟状光滑孤子(或孤波)解/
- 尖峰孤子解
We propose a method of obtaining peakon solution from bell-shape smooth soliton (or solitary wave)solution, i.e. constructing directly an ansatz solution of peakon according to the well-known bell-shape smooth soliton solution and then determining the coefficients in ansatz solution. The method is verified to be feasible for four nonlinear wave equations and one set of equations. The bell-shape smooth soliton (or solitary wave)solution and peakon solution can exist in the same expression and the expressions of peakon solutions include those of the bell-shape smooth soliton solutions and the latter are the special cases of the former.-
Keywords:
- nonlinear wave equation/
- bell-shape smooth soliton(or solitary wave) solution/
- peaked soliton (peakon)solution
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] -
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35]
计量
- 文章访问数:6852
- PDF下载量:814
- 被引次数:0
下载: