164 citations · 753 across the 23 of their papers we have counts for
11 papers · 1 filter
Averaging of Nonlinearity Management with Dissipation
S. Beheshti, K. J. H. Law, P. G. Kevrekidis +1
Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlin…
Highly Nonlinear Solitary Waves in Heterogeneous Periodic Granular Media
Mason A. Porter, Chiara Daraio, Ivan Szelengowicz +2
We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) a…
Matter-wave solitons with a periodic, piecewise-constant nonlinearity
A. S. Rodrigues, P. G. Kevrekidis, Mason A. Porter +3
Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and st…
Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains
Mason A. Porter, Chiara Daraio, Eric B. Herbold +2
We report the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examin…
Modulational Instability in Nonlinearity-Managed Optical Media
Martin Centurion, Mason A. Porter, Ye Pu +3
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically-nonlinear (Kerr) optical medium that consists of alternating layer…
Modulational instability in a layered Kerr medium: Theory and Experiment
Martin Centurion, Mason A. Porter, Ye Pu +3
We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consi…