dc.creator | Plastino, Ángel Ricardo | |
dc.creator | Wedemann, Roseli S. | |
dc.date.accessioned | 2019-03-29T16:57:19Z | |
dc.date.accessioned | 2022-10-15T07:39:51Z | |
dc.date.available | 2019-03-29T16:57:19Z | |
dc.date.available | 2022-10-15T07:39:51Z | |
dc.date.created | 2019-03-29T16:57:19Z | |
dc.date.issued | 2017-02 | |
dc.identifier | Plastino, Ángel Ricardo; Wedemann, Roseli S.; Nonlinear wave equations related to nonextensive thermostatistics; Molecular Diversity Preservation International; Entropy; 19; 2; 2-2017 | |
dc.identifier | 1099-4300 | |
dc.identifier | http://hdl.handle.net/11336/72828 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4361437 | |
dc.description.abstract | We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive Sq entropies. Our present contribution is in line with recent developments, where nonlinear extensions inspired on the q-thermostatistical formalism have been proposed for the Schroedinger, Klein-Gordon, and Dirac wave equations. These previously introduced equations share the interesting feature of admitting q-plane wave solutions. In contrast with these recent developments, one of the nonlinear wave equations that we propose exhibits real q-Gaussian solutions, and the other one admits exponential plane wave solutions modulated by a q-Gaussian. These q-Gaussians are q-exponentials whose arguments are quadratic functions of the space and time variables. The q-Gaussians are at the heart of nonextensive thermostatistics. The wave equations that we analyze in this work illustrate new possible dynamical scenarios leading to time-dependent q-Gaussians. One of the nonlinear wave equations considered here is a wave equation endowed with a nonlinear potential term, and can be regarded as a nonlinear Klein-Gordon equation. The other equation we study is a nonlinear Schroedinger-like equation. | |
dc.language | eng | |
dc.publisher | Molecular Diversity Preservation International | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.3390/e19020060 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/19/2/60 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | NONEXTENSIVE ENTROPIES | |
dc.subject | NONEXTENSIVE THERMOSTATISTICS | |
dc.subject | NONLINEAR WAVE EQUATIONS | |
dc.title | Nonlinear wave equations related to nonextensive thermostatistics | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |