In this talk, we investigate the multi-component AB system of the mixed-type that appears in geophysical fluid dynamics. We construct bright-dark soliton solutions of the system using the Hirota’s bilinear method for the focusing-focusing, focusing-defocusing and defocusing-defocusing case, respectively. We give asymptotic behaviours of two-soliton solutions and prove that the interactions between two bright and two dark solitons are elastic. Under various parameter conditions, the oblique interactions and bound states of solitons are analyzed in detail. By use of the Pfaffian technique, we present N-bright and N−dark soliton solutions of the mixed multi-component AB system. |