Dynamics of the multi-dark-soliton solutions on periodic backgrounds in the Maccari system

This paper investigates the dynamics of multi-dark-soliton solutions on periodic backgrounds within the Maccari system. Utilizing the bilinear method, we construct the multiple-dark-soliton solutions on periodic background, represented in block determinant form. We discover that the dark solitons feature periodic waves on periodic backgrounds. The study explores the interaction behaviors of these dark solitons through asymptotic analysis, revealing significant effects of periodic backgrounds on the dark soliton dynamics. The results show that the periodic backgrounds influence the soliton amplitudes and interactions, providing new insights into the complex behaviors of dark solitons in integrable systems.