Explicit homoclinic tube solutions and chaos for Zakharov system with periodic boundary

In this Letter, the explicit homoclinic tube solutions for Zakharov system with periodic boundary conditions, and even constraints, are exhibited. The results show that there exist two family homoclinic tube solutions depending on parameters ( a , p ) , which asymptotic to a periodic cycle of one di...

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Bibliographic Details
Published in:Physics letters. A 2006-04, Vol.352 (4), p.411-415
Main Authors: Dai, Zhengde, Huang, Jian, Jiang, Murong
Format: Article
Language:English
Subjects:
Cycle
Homoclinic tube
Zakharov system
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Summary:In this Letter, the explicit homoclinic tube solutions for Zakharov system with periodic boundary conditions, and even constraints, are exhibited. The results show that there exist two family homoclinic tube solutions depending on parameters ( a , p ) , which asymptotic to a periodic cycle of one dimension. The structures of homoclinic tubes have been investigated.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2005.12.026