Abstract
In this paper, a generalized three-component Hirota–Satsuma coupled KdV equation describing the interactions of two long waves with different dispersion relations, is investigated. Applying Hirota bilinear operator theory, the bilinear form of the proposed model is first obtained, and then its N-soliton solutions are given in explicit forms. Finally, the analysis of the dynamic property shows that the collisions between two solitons are elastic.