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Improved existence time for a Boussinesq system
We consider a strongly dispersive Boussinesq-type system arising as a model for the propagation of weakly nonlinear water waves. The system is characterized by a nonlinearity parameter $0<ε\le 1$ and a shallow water parameter $0<μ\le 1$. In the Boussinesq regime $μ\sim ε$, Saut, Wang and Xu \cite{SW
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