Tootfinder

On the integrable six-wave interaction system and its space-time shifted reduction
Mark J. Ablowitz, Ramesh Gupta, Ziad H. Musslimani, Nicholas J. Ossi
https://arxiv.org/abs/2510.10312

On the integrable six-wave interaction system and its space-time shifted reduction
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 dynamics of the electric and polarization fields are obtained. Using a space-time multi-scale asymptotic expansion, a hierarchy of coupled equations describing the spatio-temporal evolution of the perturbed electric and polarization fields are derived. The leading order equation admits a six-wave ansatz satisfying a triad…

Crosslisted article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Discrete Nonlinear Schr\"odinger versus Ablowitz-Ladik: Existence and dynamics of generalized NLS...
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos, Dimitrios Mitsotakis