353 citations · 967 across the 21 of their papers we have counts for
4 papers · 1 filter
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…
Time-dependent spectral renormalization method
Justin T. Cole, Ziad H. Musslimani
The spectral renormalization method was introduced by Ablowitz and Musslimani in 2005, [Opt. Lett. 30, pp. 2140-2142] as an effective way to numerically compute (time-independent)…
Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
Amarendra K. Sarma, Mohammad-Ali Miri, Ziad H. Musslimani +1
We investigate the dynamical behavior of continuous and discrete Schrodinger systems exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a f…
Discrete gap solitons in a diffraction-managed waveguide array
P. G. Kevrekidis, B. A. Malomed, Z. Musslimani
A model including two nonlinear chains with linear and nonlinear couplings between them, and opposite signs of the discrete diffraction inside the chains, is introduced. For [$χ^{(…