﻿ 藕合的AKNS方程的可积离散化

# 藕合的AKNS方程的可积离散化Integrable Discretization of the Coupled AKNS Equation

>This paper mainly studied the integrable discretization of the second order coupled AKNS equation. First of all, some new N soliton solutions of the semi-discrete double linear derivative equation of the second order coupled AKNS equation are got by using the Hirota method and Maple. Then, the full discrete bilinear derivative equation is obtained through the method of discrete time of the semi-discrete double linear deriva- tive equation and its N soliton solutions are found out. Finally, the difference-difference AKNS equation is obtained by an appropriate transformation.

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