dc.creator | Chirilus-Bruckner, Martina | es |
dc.creator | Chong, Christopher | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.creator | Cuevas-Maraver, Jesús | es |
dc.date.accessioned | 2019-02-21T12:41:15Z | |
dc.date.available | 2019-02-21T12:41:15Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Chirilus-Bruckner, M., Chong, C.,...,Cuevas-Maraver, J. (2014). Sine-Gordon Equation: From Discrete to Continuum. En The sine-Gordon Model and its Applications (pp. 31-57). Switzerland: Springer International Publishing | |
dc.identifier.isbn | 978-3-319-06722-3 | es |
dc.identifier.uri | https://hdl.handle.net/11441/83341 | |
dc.description.abstract | In the present Chapter, we consider two prototypical Klein-Gordon models: the integrable sine-
Gordon equation and the non-integrable φ4 model. We focus, in particular, on two of their prototypical
solutions, namely the kink-like heteroclinic connections and the time-periodic, exponentially
localized in space breather waveforms. Two limits of the discrete variants of these models are contrasted:
on the one side, the analytically tractable original continuum limit, and on the opposite end,
the highly discrete, so-called anti-continuum limit of vanishing coupling. Numerical computations
are used to bridge these two limits, as regards the existence, stability and dynamical properties
of the waves. Finally, a recent variant of this theme is presented in the form of PT -symmetric
Klein-Gordon field theories and a number of relevant results are touched upon. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer International Publishing | es |
dc.relation.ispartof | The sine-Gordon Model and its Applications | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | ϕ4 model | es |
dc.subject | Anti-continuum limit | es |
dc.subject | Breathers Continuum and discrete models | es |
dc.subject | Kinks | es |
dc.subject | Klein–Gordon lattices | es |
dc.subject | Klein–Gordon PDEs | es |
dc.subject | Nanopteron | es |
dc.subject | PT-symmetry | es |
dc.title | Sine-Gordon Equation: From Discrete to Continuum | es |
dc.type | info:eu-repo/semantics/bookPart | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.publisherversion | https://link.springer.com/chapter/10.1007/978-3-319-06722-3_2 | es |
dc.identifier.doi | 10.1007/978-3-319-06722-3__2 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 17 p. | es |
idus.validador.nota | Preprint | es |
dc.publication.initialPage | 31 | es |
dc.publication.endPage | 57 | es |
dc.relation.publicationplace | Switzerland | es |