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

The discrete (G′/G)‐expansion method applied to the differential‐difference Burgers equation and the relativistic Toda lattice system

“…Right after their pioneer work, the (G /G)-expansion method became popular in the research community, and a number of studies refining the initial idea have been published [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. The value of the (G /G)-expansion method is that one treats nonlinear problems by essentially linear methods.…”

Exact and explicit solutions to the discrete nonlinear Schrödinger equation with a saturable nonlinearity

“…The basic idea of the (G /G)-expansion method lies in the fact that it takes full advantage of linear theory. Being straightforward and concise, we can find some publications in which the method has been adapted, generalized and extended for various kinds of nonlinear problems [36][37][38][39][40][41].…”

The Ablowitz–Ladik lattice system by means of the extended ()-expansion method

“…Moreover, the (G 0 =G)-expansion method delivers three types of exact solutions; hyperbolic, trigonometric, and rational functions. Not long ago, Zhang et al [31] and Aslan [32] have successfully generalized the (G 0 =G)-expansion method to some physically important NDDEs.…”