Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Panayotis Panayotaros"'
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 2, Pp 309-326 (2019)
We derive nonlocal discrete nonlinear Schrödinger (DNLS) equations for laser beam propagation in optical waveguide arrays that use a nematic liquid crystal substrate. We start with an NLS-elliptic model for the problem and propose a simplified versi
Externí odkaz:
https://doaj.org/article/564594789fdb487fbcd662e1cf75a301
Autor:
Panayotis Panayotaros
Publikováno v:
Applied Sciences, Vol 11, Iss 10, p 4420 (2021)
We study properties of an infinite system of discrete nonlinear Schrödinger equations that is equivalent to a coupled Schrödinger-elliptic differential equation with periodic coefficients. The differential equation was derived as a model for laser
Externí odkaz:
https://doaj.org/article/14270bcc94754abbadf73f060a48563d
Publikováno v:
Electronic Journal of Differential Equations, Vol 2010, Iss 107,, Pp 1-26 (2010)
We consider a system of coupled nonlinear Schrodinger equations with periodically varying dispersion coefficient that arises in the context of fiber-optics communication. We use Lions's Concentration Compactness principle to show the existence of sta
Externí odkaz:
https://doaj.org/article/0da9e21f6252448dad0dcb8a517d1fb6
Publikováno v:
The European Physical Journal Special Topics. 231:159-165
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bd53acce5643f00f76fe5f0d98e628a
https://doi.org/10.1140/epjs/s11734-022-00509-6
https://doi.org/10.1140/epjs/s11734-022-00509-6
Autor:
Panayotis Panayotaros
Publikováno v:
Physica D: Nonlinear Phenomena. 449:133751
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b6222282579d61c85b26bdd230095b1
https://doi.org/10.1016/j.physd.2023.133751
https://doi.org/10.1016/j.physd.2023.133751
Publikováno v:
Linear Algebra and its Applications. 605:29-62
We characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvectors of two types, eigenvectors that vanish exactly outside the complet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d84cf515059ef2c1c794ed0ad85d02e9
https://doi.org/10.1016/j.laa.2020.07.011
https://doi.org/10.1016/j.laa.2020.07.011
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c56cfb3ba98a79122abf15b4973c2273
https://doi.org/10.2139/ssrn.4221704
https://doi.org/10.2139/ssrn.4221704
Publikováno v:
Water Waves. 1:343-370
We study normal modes for the linear water wave problem in infinite straight channels of bounded constant cross-section. Our goal is to compare semi-analytic normal mode solutions known in the literature for special triangular cross-sections, namely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3a80ff65da652bd3112017ef7f4342a
https://doi.org/10.1007/s42286-019-00010-z
https://doi.org/10.1007/s42286-019-00010-z
Publikováno v:
Physics Letters A. 383:164-169
We present a comparison of quantum and “semiclassical” trajectories of coherent states that correspond to classical breather solutions of finite discrete nonlinear Schrodinger (DNLS) lattices. The main goal is to explain earlier numerical observa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a834fa1b1e1a19e96b2eead595233e14
https://doi.org/10.1016/j.physleta.2018.10.020
https://doi.org/10.1016/j.physleta.2018.10.020