TY - JOUR
T1 - Numerical complexiton solutions of complex KdV equation
AU - An, Hong Li
AU - Li, Yong Zhi
AU - Chen, Yong
PY - 2008/9/15
Y1 - 2008/9/15
N2 - 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.
AB - 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.
KW - Adomian decomposition method
KW - Complex KdV equation
KW - Complexiton solution
KW - Numerical complexiton solution
UR - https://www.scopus.com/pages/publications/56349114998
U2 - 10.1088/0253-6102/50/3/06
DO - 10.1088/0253-6102/50/3/06
M3 - 文章
AN - SCOPUS:56349114998
SN - 0253-6102
VL - 50
SP - 568
EP - 574
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 3
ER -