23 citations · 32 across the 3 of their papers we have counts for
3 papers
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
K. J. H. Law, P. G. Kevrekidis, V. Koukouloyannis +3
We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schroedinger equation on nonsquare lattice geometries. We present a systematic classification of…
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…
On the Emergence of Unstable Modes in an Expanding Domain for Energy-Conserving Wave Equations
K. J. H. Law, P. G. Kevrekidis, D. J. Frantzeskakis +1
Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In parti…