Bright and dark soliton solution of the nonlinear partial differential equations system

In this paper, we obtained the 1-soliton solutions of the (3+1)-dimensional Zakharov--Kuznetsov (ZK) equation and the Drinfeld-Sokolov equation system. By using a solitary wave ansatz method, we obtain exact bright and dark soliton solutions for these equations. The parameters of the soliton envelope (amplitude, widths, velocity) are obtained as function of the dependent model coefficients. Note that, it is always useful and desirable to construct exact solutions especially soliton-type envelope for the understanding of most nonlinear physical phenomena.