The (G′/G)-expansion method for solving the conformable time fractional Hirota-Satsuma coupled KdV system

An Extension of the Double G ′ / G , Al-Shawba1, Abdullah2, Azmi3 et al. 2020ComplexitySelf Cite6000View full textAdd to dashboardCite

“…Case 1: when λ < 0, substituting solution (19) into equation (18) and utilizing (4) and (6), equation 18can be transmuted to a polynomial in (1/ϕ) and ψ.…”

“…Inserting the values of the parameters assembled in (21) into solution (19) along with (6) and (16), the following wide-ranging hyperbolic function solution is ascertained:…”

“…where ξ � kx − c(t α /α). Case 2: when λ > 0, embedding solution (19) int(1/ϕ)o (18) and putting in use (4) and 8, equation (18) becomes polynomial in and ψ.…”

“…Substituting the values scheduled in (29) into solution (19) along with (8) and (16), the succeeding trigonometric solution to the CRWP equation 15is established:…”

“…e exact solutions of nonlinear FDEs play fundamental role in describing different qualitative and quantitative features of nonlinear complex physical phenomena. For this reason, researchers have proposed different methods to obtain exact solutions to nonlinear FDEs such as exp(− φ(ξ))-expansion method [9][10][11][12], the (G′/G)-expansion method [13][14][15][16][17][18][19], auxiliary equation method [20,21], (G ′ /G, 1/G)-expansion method [22][23][24][25][26][27] the trial equation method [28,29], fractional subequation method [30,31], modified simple equation method [32], generalized Kudrayshov method [33,34], and others [35][36][37][38].…”