7 citations · 9 across the 3 of their papers we have counts for
3 papers
Inverse scattering transform for continuous and discrete space-time shifted integrable equations
Mark J. Ablowitz, Ziad H. Musslimani, Nicholas J. Ossi
Nonlocal integrable partial differential equations possessing a spatial or temporal reflection have constituted an active research area for the past decade. Recently, more general…
Time-Dependent Duhamel Renormalization method with Multiple Conservation and Dissipation Laws
Sathyanarayanan Chandramouli, Aseel Farhat, Ziad Musslimani
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 an…
Integrable nonlocal nonlinear equations
Mark J. Ablowitz, Ziad H. Musslimani
A nonlocal nonlinear Schrödinger (NLS) equation was recently found by the authors and shown to be an integrable infinite dimensional Hamiltonian equation. Unlike the classical (loc…