Modified (G′/G)-expansion method for finding traveling wave solutions of the coupled Benjamin-Bona-Mahony-KdV equation

Using the Lie symmetry approach, the author has examined traveling wave solutions of coupled Benjamin-Bona-Mahony-KdV equation. The coupled Benjamin-Bona-Mahony-KdV equation is reduced to nonlinear ordinary differential equations for all optimal subalgebras by using Lie classical symmetries and various solutions are obtained by the modified (G'/G)-expansion method. Further, with the aid of solutions of the nonlinear ordinary differential equations, more explicit traveling wave solutions of the coupled Benjamin-Bona-Mahony-KdV equation are found out. The traveling wave solutions are expressed by rational function. (C) 2019 Shanghai Jiaotong University. Published by Elsevier B.V.