2 papers
nlin.SI2025
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…
nlin.SI2024
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…