(2+1)维AKNS方程的行波精确解及扰动结构

Perturbation Exact Solution and Disturbed Structure for (2+1)-D AKNS Equation

针对(2+1)维AKNS方程,应用初值扰动法和截断函数展开法,结合Maple计算,获得了方程带初值扰动的系列显式精确解,分别讨论了准周期波、Gauss波和孤波对准扭结波的扰动结构。

By the initial perturbation method and truncated function series expansion method, some exact solutions with the initial value perturbation for the(2+1)-D AKNS equation are obtained through the Maple computation. Moreover, disturbed structures to the aligned kink wave of the quasi-periodic wave, the Gauss wave and the solitary wave are discussed.