Abstract
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.
Original language | English |
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Pages (from-to) | 67-101 |
Number of pages | 35 |
Journal | SUT Journal of Mathematics |
Volume | 50 |
Issue number | 2 |
Publication status | Published - 2014 |
Externally published | Yes |
Keywords
- Asymptotic behavior of solutions
- Nonexistence of scattering states
- Reduced Ostrovsky
ASJC Scopus subject areas
- Mathematics(all)