The -expansion method for nonlinear differential-difference equations

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 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.…”

Application of the -expansion method to Kawahara type equations using symbolic computation

“…In their remarkable study [13], Wang and Zhang successfully obtained more traveling wave solutions of four NLEEs. Later, to improve the work made in [13], some important studies on the generalizations and the extensions of the G 0 =G-expansion method have been presented by the authors [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] in the open literature.…”