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Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method
Authors:?smail Aslan
Affiliation:Department of Mathematics, Izmir Institute of Technology, Urla, ?zmir 35430, Turkey
Abstract:We extended the (G′/G)-expansion method to two well-known nonlinear differential-difference equations, the discrete nonlinear Schrödinger 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.
Keywords:(G&prime  /G)-expansion method   Nonlinear differential-difference equation   Discrete nonlinear Schrö  dinger equation   Toda lattice equation   Lattice equation
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