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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 Name | Affiliation | | 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. |
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