36 citations · 107 across the 12 of their papers we have counts for
4 papers · 1 filter
Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
C. Chong, P. G. Kevrekidis, M. J. Ablowitz +1
Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically com…
Two-dimensional localized structures in harmonically forced oscillatory systems
Y. -P. Ma, E. Knobloch
Two-dimensional spatially localized structures in the complex Ginzburg-Landau equation with 1:1 resonance are studied near the simultaneous occurrence of a steady front between two…
Dispersive shock waves in the Kadomtsev-Petviashvili and Two Dimensional Benjamin-Ono equations
Mark J. Ablowitz, Ali Demirci, Yi-Ping Ma
Dispersive shock waves (DSWs) in the Kadomtsev-Petviashvili (KP) equation and two dimensional Benjamin-Ono (2DBO) equation are considered using parabolic front initial data. Employ…
Strong transmission and reflection of edge modes in bounded photonic graphene
Mark J. Ablowitz, Yi-Ping Ma
The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are…