3 papers
physics.optics2026
Topological routing in Chern insulators
Mark J. Ablowitz, Justin T. Cole, Sean D. Nixon
Chern insulator systems are realizable in numerous physical systems and can support robust nonreciprocal transmission of energy. A routing functionality constructed from two counte…
physics.flu-dyn2025
Spiral Wave Solutions in Water Waves
Mark J. Ablowitz, Justin T. Cole, Sean D. Nixon
Spiral wave solutions are found in linear and weakly nonlinear irrotational water wave equations. These unsteady spiral waves evolve from suitable initial conditions; they are not…
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…