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Artículo
Discrete peakons
dc.creator | Comech, Andrew | |
dc.creator | Cuevas-Maraver, Jesús | |
dc.creator | Kevrekidis, Panayotis G. | |
dc.date.accessioned | 2015-04-21T09:35:23Z | |
dc.date.available | 2015-04-21T09:35:23Z | |
dc.date.issued | 2005-08-01 | |
dc.identifier.issn | 0167-2789 | es |
dc.identifier.uri | http://hdl.handle.net/11441/24698 | |
dc.description.abstract | We demonstrate the possibility for explicit construction in a discrete Hamiltonian model of an exact solution of the form exp(−|n|), i.e., a discrete peakon. These discrete analogs of the well-known, continuum peakons of the Camassa–Holm equation [R. Camassa, D.D. Holm, Phys. Rev. Lett. 71 (1993) 1661] are found in a model different from the one for their continuum siblings and from that of earlier studies in the discrete setting [A.A. Ovchinnikov, S. Flach, Phys. Rev. Lett. 83 (1999) 248]. Namely, we observe discrete peakons in Klein–Gordon-type and nonlinear Schrödinger-type chains with long-range interactions. The interesting linear stability differences between these two chains are examined numerically and illustrated analytically. Additionally, inter-site centered peakons are also obtained in explicit form and their stability is studied. We also prove the global well-posedness for the discrete Klein–Gordon equation, show the instability of the peakon solution, and the possibility of a formation of a breathing peakon. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Physica D: Nonlinear Phenomena, 207(3),137-160 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Klein–Gordon | es |
dc.subject | Nonlinear Schr ̈ odinger | es |
dc.subject | Discrete models | es |
dc.subject | Long-range interactions | es |
dc.subject | Peakons | es |
dc.subject | Solitary waves | es |
dc.subject | Stability analysis | es |
dc.title | Discrete peakons | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | |
dc.relation.publisherversion | DOI : 10.1016/j.physd.2005.05.019 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.physd.2005.05.019 | |
dc.identifier.doi | 10.1016/j.physd.2005.05.019 | |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/24698 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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PD_Cuevas_2005_Discrete.pdf | 774.6Kb | [PDF] | Ver/ | |