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The Extended Discrete (Gʹ∕G)-expansion Method and Its Application to the Relativistic Toda Lattice System

The Extended Discrete (Gʹ∕G)-expansion Method and Its Application to the Relativistic Toda Lattice System

We propose the extended discrete (G′/G)‐expansion method for directly solving nonlinear differential‐difference equations. For illustration, we choose the relativistic Toda lattice system. We derive further discrete hyperbolic and trigonometric function traveling wave solutions, as well as discrete rational function solutions.