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N-dark Soliton Solutions for the Multi-componentMaccari System
  
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KeyWord:N-dark soliton solutions  the multi-component Maccari system  KP hierarchy reduction method
Author NameAffiliation
Yi Zhang Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
Haifeng Huo Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
Yinkang Xu Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
Yinjie Lu Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
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Abstract:
      By virtue of the KP hierarchy reduction method, the N-dark soli- ton solutions of the multi-component Maccari system are constructed. Taking the coupled Maccari system for instance, the N-dark soliton solutions are fur- ther 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 soli- tons in different components. What’s more, we also investigate the dark-dark soliton bound states including stationary and moving ones.