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Author | dc.contributor.author | Muñoz, Claudio | |
Author | dc.contributor.author | Ponce, Gustavo | |
Admission date | dc.date.accessioned | 2019-10-11T17:30:02Z | |
Available date | dc.date.available | 2019-10-11T17:30:02Z | |
Publication date | dc.date.issued | 2019 | |
Cita de ítem | dc.identifier.citation | Communications in Mathematical Physics, Volumen 367, Issue 2, 2019, Pages 581-598 | |
Identifier | dc.identifier.issn | 14320916 | |
Identifier | dc.identifier.issn | 00103616 | |
Identifier | dc.identifier.other | 10.1007/s00220-018-3206-9 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/171230 | |
Abstract | dc.description.abstract | © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. In this paper our first aim is to identify a large class of non-linear functions f(·) for which the IVP for the generalized Korteweg–de Vries equation does not have breathers or “small” breathers solutions. Also, we prove that all uniformly in time L 1 ∩ H 1 bounded solutions to KdV and related “small” perturbations must converge to zero, as time goes to infinity, locally in an increasing-in-time region of space of order t 1/2 around any compact set in space. This set is included in the linearly dominated dispersive region x≪ t. Moreover, we prove this result independently of the well-known supercritical character of KdV scattering. In particular, no standing breather-like nor solitary wave structures exists in this particular regime. | |
Lenguage | dc.language.iso | en | |
Publisher | dc.publisher | Springer New York LLC | |
Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
Source | dc.source | Communications in Mathematical Physics | |
Keywords | dc.subject | Statistical and Nonlinear Physics | |
Keywords | dc.subject | Mathematical Physics | |
Título | dc.title | Breathers and the Dynamics of Solutions in KdV Type Equations | |
Document type | dc.type | Artículo de revista | |
Cataloguer | uchile.catalogador | SCOPUS | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |
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