摘要
In this paper, we directly extend the applications of the Adomian decomposition method to investigate the complex KdV equation. By choosing different forms of wave functions as the initial values, three new types of realistic numerical solutions： numerical positon, negaton solution, and particularly the numerical analytical complexiton solution are obtained, which can rapidly converge to the exact ones obtained by Lou et al. Numerical simulation figures are used to illustrate the efficiency and accuracy of the proposed method.
基金
National Natural Science Foundation of China under Grant No.10735030
Shanghai Leading Academic Discipline Project under Grant No.B412
Natural Science Foundations of Zhejiang Province of China under Grant No.Y604056
the Doctoral Foundation of Ningbo City under Grant No.2005A61030
K.C.Wong Magna Fund in Ningbo University
