We consider the Cauchy problem for the generalized Ostrovsky equation utx=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.
- Asymptotic behavior of solutions
- Ostrovsky equation
- Time decay
ASJC Scopus subject areas
- Applied Mathematics