Abstract
In this paper, we obtain the 1-soliton solutions of the generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony (GZK-BBM) equation. By using a solitary wave ansatz in the form of sech(p) function and another wave ansatz in the form of tanh(p) function we obtain bright and dark soliton solutions for this equation. The physical parameters in the soliton solutions: amplitude, inverse width, and velocity are obtained as functions of the dependent model coefficients.