Discrete exact solutions to some nonlinear differential-difference equations via the (G '/G)-expansion method

作者：Aslan Ismail^*

来源：Applied Mathematics and Computation, 2009, 215(8): 3140-3147.

DOI：10.1016/j.amc.2009.09.056

• (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.

• 出版日期2009-12-15