  By considering the master equation of asymmetric exclusion process on a
one-dimensional lattice, we obtain the most general boundary condition of the
multi-species exclusion processes in which the number of particles is constant
in time. This boundary condition introduces the various interactions to the
particles, including ones which have been studied yet and the new ones. In
these new models, the particles have simultaneously diffusion, the two-particle
interactions $A_\alpha A_\beta\to A_\gamma A_\delta$, and the $n$-particle
extended drop-push interaction. The constraints on reaction rates are obtained
and in two-species case, they are solved to obtain a solvable model. The
conditional probabilities of this model are calculated.
