A generalized -expansion method and its applications

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

“…Now, substituting the solution sets (19) into (18) and taking the solutions of Eq. (4) into account; we obtain more general form hyperbolic function traveling wave solutions to Eq.…”

“…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.…”

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.…”

On the validity and reliability of the (/G)-expansion method by using higher-order nonlinear equations

“…Bekir [10,11] applied this method to obtain traveling wave solutions of various equations. A generalization of the method has been given by Zhang et al [12]. Also, Zhang et al [13] made the further extension of the method for the evolution equations with variable coefficients.…”