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Periodic Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations: Existence and Stability
dc.contributor.author | Hakkaev, Sevdzhan | |
dc.contributor.author | Stanislavova, Milena | |
dc.contributor.author | Stefanov, Atanas G. | |
dc.date.accessioned | 2018-12-14T19:51:08Z | |
dc.date.available | 2018-12-14T19:51:08Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Hakkaev, S., Stanislavova, M., & Stefanov, A. (2017). Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability. SIAM Journal on Mathematical Analysis, 49(1), 674-698. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/27523 | |
dc.description.abstract | We construct various periodic traveling wave solutions of the Ostrovsky/Hunter--Saxton/short pulse equation and its KdV regularized version. For the regularized short pulse model with small Coriolis parameter, we describe a family of periodic traveling waves which are a perturbation of appropriate KdV solitary waves. We show that these waves are spectrally stable. For the short pulse model, we construct a family of traveling peakons with corner crests. We show that the peakons are spectrally stable as well. | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2017, Society for Industrial and Applied Mathematics | |
dc.title | Periodic Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations: Existence and Stability | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1137/15M1037901 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess | en_US |