Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations

Abstract

In this paper, we obtained the 1-soliton solutions of the (2+1)-dimensional Boussinesq equation and the Camassa–Holm–KP equation. By using a solitary wave ansatz in the form of sech^p function, we obtain exact bright soliton solutions and another wave ansatz in the form of tanh^p function we obtain exact dark soliton solutions for these equations. The physical parameters in the soliton solutions are obtained nonlinear equations with constant coefficients.