Exact solutions to the (2 +1)-dimensional dispersive long wave equations

For obtaining more soliton-like solutions to the nonlinear partial differential equations, this paper firstly provides another form of projective Ricatti equation which is a common auxiliary equation, and proofs that the solutions of the special form of the projective Ricatti equation are equivalent to solutions of φ⁴ equation. The results prove the uniform solutions of φ⁴ equation. These solutions are more general. Finally, this paper considers the (2+1)-dimensional dispersive long wave equations and gets its more exact solutions by the uniform solutions of projective Ricatti equation and Maple. Our research preliminary constructs the new form of auxiliary equation which can get more new soliton-like solutions to the nonlinear partial differential equations.