摘要
在这篇论文，准确、数字的答案为分离复杂 Ginzburg 被计算—有由考虑修改 Adomian 分解方法(mADM ) 的起始的状况的四轮马车方程，它是一个有效方法并且不需要 linearization，弱非线性假设或不安理论。数字答案也与他们的相应分析答案相比。很好的近似与分析答案被完成，这被显示出。最后， modulational 不稳定性被调查，相应条件被给。
In this paper, exact and numerical solutions are calculated for discrete complex Ginzburg-Landau equation with initial condition by considering the modified Adomian decomposition method （mADM）, which is an efficient method and does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions are also compared with their corresponding analytical solutions. It is shown that a very good approximation is achieved with the analytical solutions. Finally, the modulational instability is investigated and the corresponding condition is given.
基金
supported by National Natural Science Foundation of China under Grant No. 10672147
