Equilibria of a discrete Landau–de Gennes theory for nematic liquid crystals

P Panayotaros - The European Physical Journal Special Topics, 2022 - Springer
We study equilibria of a discrete version of the Landau–de Gennes energy functional for
nematic liquid crystals. We consider the regime of small intersite coupling and present …

Discrete Nonlinear Schrödinger Systems for Periodic Media with Nonlocal Nonlinearity: The case of Nematic Liquid Crystals

P Panayotaros - Applied Sciences, 2021 - mdpi.com
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 …

Shelf solutions and dispersive shocks in a discrete NLS equation: Effects of nonlocality

P Panayotaros - Journal of Nonlinear Optical Physics & Materials, 2016 - World Scientific
We study shelf-like breathers and dispersive shock phenomena in a discrete nonlinear
Schrödinger (DNLS) equation with a nonlocal nonlinearity. The system models laser light …

[HTML][HTML] Wannier functions and discrete NLS equations for nematicons

JA Vélez-Pérez, P Panayotaros - Mathematics in Engineering, 2019 - aimspress.com
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 …

[PDF][PDF] Discrete nonlinear Schrödinger systems for periodic thermal media: The case of nematic liquid crystals

P Panayotaros - Light Beams in Liquid Crystals - mdpi.com
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 …

[PDF][PDF] NLS EQUATION

RI Ben, JP Borgna, R Carretero-Gonzlezº - carretero.sdsu.edu
Applying variational methods, we construct analytical approximations for one-peak discrete
solitons supported by a nonlocal discrete nonlinear Schrödinger equation describing laser …

Soluciones a una ecuación no local discreta y no lineal de Schrödinger

RI Ben - 2019 - repositorio.ungs.edu.ar
Las ecuaciones discretas no lineales de tipo Schrödinger (DNLS) permiten modelar una
amplia gama de fenómenos fısicos: dinámica de átomos en condensados de Bose-Einstein …