-
将在行波变换下的Jacobi椭圆函数展开法推广到范围非常广泛的一般函数变换下进行，利用这一方法求得了一些非线性发展方程的精确周期解，这些解包括了在行波变换下所求得的周期解. 证明了一些非线性发展方程的周期解一定是行波解.
-
关键词:
- 非线性发展方程 /
- 周期解 /
- 行波解 /
- Jacobi椭圆函数
A Jacobi elliptic function expansion method under a general function transform, which is more general than the Jacobi elliptic function expansion method under a traveling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. It is shown that some new exact periodic solutions of them are obtained by this method and these new solutions include previous solutions. Meanwhile, it is proved that the periodic solutions of some nonlinear evolution equations must be traveling solutions.-
Keywords:
- Nonlinear evolution equation /
- periodic solution /
- traveling solution /
- Jacobi elliptic function
计量
- 文章访问数: 9071
- PDF下载量: 935
- 被引次数: 0
下载:
