半离散KdV非线性方程的非零边界孤子解

The solitary wave solution of the discrete nonlinear semi - KdV equation with nonvanishing boundary condition

为简化繁琐的、用实指数方法计算半离散KdV非线性演化方程的手工求解过程,文章采用Mathematica符号计算软件编程来求解半离散KdV非线性方程,用这种方法求解不仅得到已有的零边界的孤子解,而且还得到非零边界的孤子解.

In order to predigest the process of using the real exponential approach to solve the solitary wave solution of the discrete nonlinear semi - KdV equation by hand, the mathematica software was programmed and used, thus having found the solitary wave solution with both vanishing and non - vanishing boundary conditions.