期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 215, 期 8, 页码 3140-3147出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.09.056
关键词
(G '/G)-expansion method; Nonlinear differential-difference equation; Discrete nonlinear Schrodinger equation; Toda lattice equation; Lattice equation
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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