Zobrazeno 1 - 10
of 144
pro vyhledávání: '"Musslimani, Ziad"'
Nonlocal integrable partial differential equations possessing a spatial or temporal reflection have constituted an active research area for the past decade. Recently, more general classes of these nonlocal equations have been proposed, wherein the no
Externí odkaz:
http://arxiv.org/abs/2312.11780
The question of collapse (blow-up) in finite time is investigated for the two-dimensional (non-integrable) space-time nonlocal nonlinear Schrodinger equations. Starting from the two-dimensional extension of the well known AKNS q,r system, three diffe
Externí odkaz:
http://arxiv.org/abs/2311.04443
Autor:
Selim, Mahmoud A., Pyrialakos, Georgios G., Wu, Fan O., Musslimani, Ziad, Makris, Konstantinos G., Khajavikhan, Mercedeh, Christodoulides, Demetrios
We investigate the statistical mechanics of the photonic Ablowitz-Ladik lattice, the integrable version of the discrete nonlinear Schr\"odinger equation. In this regard, we demonstrate that in the presence of perturbations the complex response of thi
Externí odkaz:
http://arxiv.org/abs/2301.01244
Autor:
Marie, Antoine, Kooi, Derk P., Grossi, Juri, Seidl, Michael, Musslimani, Ziad H., Giesbertz, Klaas, Gori-Giorgi, Paola
Real materials always contain, to some extent, randomness in the form of defects or irregularities. It is known since the seminal work of Anderson that randomness can drive a metallic phase to an insulating one, and the mechanism responsible for this
Externí odkaz:
http://arxiv.org/abs/2208.14546
The time dependent spectral renormalization (TDSR) method was introduced by Cole and Musslimani as a novel way to numerically solve initial boundary value problems. An important and novel aspect of the TDSR scheme is its ability to incorporate physic
Externí odkaz:
http://arxiv.org/abs/2201.00002
Autor:
Daas, Timothy J., Grossi, Juri, Vuckovic, Stefan, Musslimani, Ziad H., Kooi, Derk P., Seidl, Michael, Giesbertz, Klaas J. H., Gori-Giorgi, Paola
We study in detail the first three leading terms of the large coupling-strength limit of the adiabatic connection that has as weak-interaction expansion the M{\o}ller-Plesset perturbation theory. We first focus on the H atom, both in the spin-polariz
Externí odkaz:
http://arxiv.org/abs/2009.04326
We re-adapt a spectral renormalization method, introduced in nonlinear optics, to solve the Kohn-Sham (KS) equations of density functional theory (DFT), with a focus on functionals based on the strictly-correlated electrons (SCE) regime, which are pa
Externí odkaz:
http://arxiv.org/abs/2004.10436
Akademický článek
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Autor:
Ablowitz, Mark J., Musslimani, Ziad H.
Quasi-monochromatic complex reductions of a number of physically important equations are obtained. Starting from the cubic nonlinear Klein-Gordon (NLKG), the Korteweg-deVries (KdV) and water wave equations, it is shown that the leading order asymptot
Externí odkaz:
http://arxiv.org/abs/1903.06752
General soliton solutions to a nonlocal nonlinear Schr\"odinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions {are considered} via the combination of Hirota's bilinear method and the Kadomtsev-Petviashvili (KP) hierarc
Externí odkaz:
http://arxiv.org/abs/1712.09172