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dc.contributor.authorHakkaev, Sevdzhan
dc.contributor.authorStanislavova, Milena
dc.contributor.authorStefanov, Atanas G.
dc.date.accessioned2018-12-14T19:51:08Z
dc.date.available2018-12-14T19:51:08Z
dc.date.issued2017
dc.identifier.citationHakkaev, 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.urihttp://hdl.handle.net/1808/27523
dc.description.abstractWe 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.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2017, Society for Industrial and Applied Mathematics
dc.titlePeriodic Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations: Existence and Stabilityen_US
dc.typeArticleen_US
dc.identifier.doi10.1137/15M1037901en_US
kusw.oaversionScholarly/refereed, publisher versionen_US
kusw.oapolicyThis item meets KU Open Access policy criteria.en_US
dc.rights.accessrightsopenAccessen_US


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