We survey recent progress on the case of the Cauchy problem for the generalized reduced Ostrovsky equation ut = S (∂x) u + (f (u))x, where the operator S (∂x) is defined through the Fourier transform as (Formula Presented.), and the nonlinear interaction is given by (Formula Presented.) if ρ > 1 is not an integer and f (u) = uρ-1 if ρ > 1 is an integer.
|Number of pages||35|
|Journal||SUT Journal of Mathematics|
|Publication status||Published - 2014|
- Asymptotic behavior of solutions
- Nonexistence of scattering states
- Reduced Ostrovsky
ASJC Scopus subject areas