Abstract
We consider the Cauchy problem for the generalized Ostrovsky equationutx=u+(f(u))xx, where f(u)=|u|ρ−1u if ρ is not an integer and f(u)=uρ if ρ is an integer. We obtain the L∞ time decay estimates and the large time asymptotics of small solutions under suitable conditions on the initial data and the order of the nonlinearity.
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