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...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.展开更多
文摘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.