353 citations · 967 across the 21 of their papers we have counts for
22 papers
On the integrable six-wave interaction system and its space-time shifted reduction
Mark J. Ablowitz, Ramesh Gupta, Ziad H. Musslimani +1
The multi-dimensional six-wave interaction system is derived in the context of nonlinear optics. Starting from Maxwell's equations, a reduced system of equations governing the dyna…
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrodinger equations
Justin T. Cole, Abdullah M. Aurko, Ziad H. Musslimani
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 tw…
Thermalization of the Ablowitz-Ladik lattice in the presence of non-integrable perturbations
Mahmoud A. Selim, Georgios G. Pyrialakos, Fan O. Wu +4
We investigate the statistical mechanics of the photonic Ablowitz-Ladik lattice, the integrable version of the discrete nonlinear Schrödinger equation. In this regard, we demonstra…
Real space Mott-Anderson electron localization with long-range interactions: exact and approximate descriptions
Antoine Marie, Derk P. Kooi, Juri Grossi +4
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 metal…
Large coupling-strength expansion of the Møller-Plesset adiabatic connection: From paradigmatic cases to variational expressions for the leading terms
Timothy J. Daas, Juri Grossi, Stefan Vuckovic +5
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 Møller-Plesset perturba…
Kohn-Sham equations with functionals from the strictly-correlated regime: Investigation with a spectral renormalization method
Juri Grossi, Ziad H. Musslimani, Michael Seidl +1
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…