TY - JOUR T1 - $N$-Dark Soliton Solutions for the Multi-Component Maccari System AU - Zhang , Yi AU - Chen , Chujun AU - Xu , Yinkang AU - Lu , Yinjie JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 179 EP - 192 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.179 UR - https://global-sci.org/intro/article_detail/jnma/18856.html KW - $N$-dark soliton solutions, the multi-component Maccari system, KP hierarchy reduction method. AB -

By virtue of the KP hierarchy reduction method, the $N$-dark soliton solutions of the multi-component Maccari system are constructed. Taking the coupled Maccari system for instance, the $N$-dark soliton solutions are further obtained in terms of determinants. In addition, in contrast with bright-bright soliton collisions, the dynamical analysis shows that the collisions of dark-dark solitons are elastic and there is no energy exchange among solitons in different components. What's more, we also investigate the dark-dark soliton bound states including stationary and moving ones.