Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 215, Issue 8, Pages 3140-3147Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.09.056
Keywords
(G '/G)-expansion method; Nonlinear differential-difference equation; Discrete nonlinear Schrodinger equation; Toda lattice equation; Lattice equation
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We extended the (G'/G)-expansion method to two well-known nonlinear differential-difference equations, the discrete nonlinear Schrodinger equation and the Toda lattice equation, for constructing traveling wave solutions. Discrete soliton and periodic wave solutions with more arbitrary parameters, as well as discrete rational wave solutions, are revealed. It seems that the utilized method can provide highly accurate discrete exact solutions to NDDEs arising in applied mathematical and physical sciences. (C) 2009 Elsevier Inc. All rights reserved.
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