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

Exact Solutions of Equation Generated by the Jaulent-Miodek Hierarchy by(G’/G)-Expansion Method

“…Moreover, Zhang et al have further extended the method to deal with evolution equations with variable coefficients [17]. In fact the ( / )-expansion method has been successfully applied to obtain exact solution for a variety of (NLEEs) [12,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In this paper, the ( / )expansion method is proposed for constructing more general exact solutions of the above nonlinear (2 + 1)-dimensional equation generated by the Jaulent-Miodek Hierarchy.…”

Some exact solutions for Toda type lattice differential equations using the improved (G′/G)‐expansion method

“…Recently, Wang et al [6] introduced the basic (G 0 /G)-expansion method to find traveling wave solutions of NPDEs in mathematical physics. The method was very well received and a number of studies refining the initial idea appeared in the research literature [7][8][9][10][11][12][13][14]. The basis of the basic (G 0 /G)-expansion method lies in the fact that it takes full advantage of linear theory.…”

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.…”