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Z. Naturforsch. 66a, 599 – 605
(2011)
doi:10.5560/ZNA.2011-0022
Homotopy Analysis Method for Ablowitz–Ladik Lattice
1 Department of Mathematics, Tat Chee Avenue 80, City University of Hong Kong, Hong Kong, PR China
2 School of Mathematics Sciences, Fudan University, Shanghai 200433, PR China
3 Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, PR China
Received December 8, 2010 / revised April 14, 2011
Reprint requests to: Q. W.; E-mail:
wangqee@gmail.com
In this paper, the homotopy analysis method is successfully applied to solve the systems of differential-difference equations. The Ablowitz–Ladik lattice system are chosen to illustrate the method. Comparisons between the results of the proposed method and exact solutions reveal that the homotopy analysis method is very effective and simple in solving systems of differential-difference equations.
Key words: Homotopy Analysis Method (HAM); Ablowitz–Ladik Lattice System.