摘要: 本文主要研究了藕合的二阶 AKNS 方程的可积离散化。首先对藕合的二阶 AKNS 方程的半离散双线性导数方程运用 Hirota 方法和 Maple 求出了其新的 N- 孤子解；然后通过对半离散的双线性导数方程中的时间变量进行离散化，得到全离散的双线性导数方程并对其进行了求解；最后通过适当的变换得出差分 – 差分 AKNS 方程。
>This paper mainly studied the integrable discretizationofthe second order coupledAKNSequation. First of all, some new N soliton solutions of the semi-discrete double linear derivative equation of the second order coupledAKNSequation are got by usingthe Hirota method and Maple.Then, the full discrete bilinear derivative equation is obtained through the method of discrete timeofthe semi-discrete double linear deriva-tive equation and its N soliton solutions are found out. Finally, the difference-differenceAKNSequation is obtained by an appropriate transformation.