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By considering the master equation of the partially asymmetric diffusionprocess on a one-dimensional lattice, the most general boundary condition (i.e.interactions) for the multi-species reaction-diffusion processes is considered.Resulting system has various interactions including diffusion to left andright, two-particle interactions $A_a A_b --> A_c A_d $ and the extendedn-particle drop-push interactions to left and right. We obtain three distinctnew models. The conditions on reaction rates to ensure the solvability of theresulting models are obtained. The two-particle conditional probabilities arecalculated exactly.Comment: 17 pages, accepted for publication in J. Math. Phys. (2005

Multispecies extension of the solvable partially asymmetric reaction–diffusion processes