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Article Contents

# Attractor for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities

• In this paper, the long time behavior of solution for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities is considered. First the global weak attractor for this equation in $E_1$ is constructed. And then by exact analysis of energy equations, it is showed that the global weak attractor is actually the global strong attractor in $E_1$.
Mathematics Subject Classification: 35K57, 35B40.

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