313 citations · 730 across the 16 of their papers we have counts for
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Whitham modulation theory for the two-dimensional Benjamin-Ono equation
Mark J. Ablowitz, Gino Biondini, Qiao Wang
Whitham modulation theory for the two dimensional Benjamin-Ono (2DBO) equation is presented. A system of five quasi-linear first-order partial differential equations is derived. Th…
Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
Mark J. Ablowitz, Justin T. Cole
A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are c…
Inverse scattering transform for the nonlocal reverse space-time Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations with nonzero boundary conditions
Mark J. Ablowitz, Bao-Feng Feng, Xu-Dan Luo +1
The reverse space-time (RST) Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations were recently introduced and shown to be integrable infinite-dimensional dynamical systems…