353 citations · 967 across the 21 of their papers we have counts for
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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…
Integrable nonlocal asymptotic reductions of physically significant nonlinear equations
Mark J. Ablowitz, Ziad H. Musslimani
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)…
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions
Bao-Feng Feng, Xu-Dan Luo, Mark J. Ablowitz +1
General soliton solutions to a nonlocal nonlinear Schrödinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions {are considered} via the combination of…
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
Mark J. Ablowitz, Xu-Dan Luo, Ziad H. Musslimani
In 2013 a new nonlocal symmetry reduction of the well-known AKNS scattering problem was found; it was shown to give rise to a new nonlocal symmetric and integrable Hamiltonian…
Generalized Uncertainty Principle and Analogue of Quantum Gravity in Optics
Maria Chiara Braidotti, Ziad H. Musslimani, Claudio Conti
The design of optical systems capable of processing and manipulating ultra-short pulses and ultra-focused beams is highly challenging with far reaching fundamental technological ap…