In this paper, we have presented the applicability of the first integral method for
constructing exact solutions of (2+ 1)-dimensional Jaulent–Miodek equations. The first
integral method is a powerful and effective method for solving nonlinear partial differential
equations which can be applied to nonintegrable as well as integrable equations. The
present paper confirms the significant features of the method employed and exact kink and
soliton solutions are constructed through the established first integrals.