New soliton-like and periodic solution of (2 + 1)-dimensional higher order Broer–Kaup system

In this paper, the (2 + 1)-dimensional higher order Broer–Kaup system is reduced to a simple nonlinear partial differential equation by a transformation. Based on the single equation and utilizing new generally projective Riccati equation method, we obtain many new exact solutions for the (2 + 1)-dimensional higher order Broer–Kaup system, including new soliton-like solutions and periodic solutions.