71 citations · 297 across the 17 of their papers we have counts for
3 papers · 1 filter
On the Whitham system for the (2+1)-dimensional nonlinear Schrödinger equation
Mark J. Ablowitz, Justin T. Cole, Igor Rumanov
We derive the Whitham modulation equations for the nonlinear Schrödinger equation in the plane (2d NLS) with small dispersion. The modulation equations are derived in terms of both…
Transverse Instability of Rogue Waves
Mark J. Ablowitz, Justin T. Cole
Rogue waves are abnormally large waves which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, one time (1+1) nonlinear Sc…
Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators
Mark J. Ablowitz, Justin T. Cole, Pipi Hu +1
The Peierls-Nabarro barrier is a discrete effect that frequently occurs in discrete nonlinear systems. A signature of the barrier is the slowing and eventual stopping of discrete s…