Extended (G′ over G)-expansion method for Relativistic Toda Lattice system

Abstract

The extended (G′ over G)-expansion method is stricter and more effective to solve nonlinear differential-difference equations than (G′ over G)-expansion method. Hyperbolic function solutions and trigonometric function solutions with parameters are obtained. When the parameters are taken as special values, some other known solutions are recovered. In this letter, we list the key steps of the algorithm and take the Relativistic Toda lattice system for example.