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)(a,p), which asymptotic to a periodic cycle of one dimension. The structures of homoclinic tubes have been investigated.