2008/06/30 by Karsten Ahnert, Arkardy Pikovsky · 2 citations
Physics and Astronomy · #nlin.PS
paper · pdf · doi:10.1063/1.2955758
published as Chaos 18, 037118 (2008) · 22 pages, 25 figures
arxiv created 2008/07/15 · arxiv updated 2011/10/17
We study waves in a chain of dispersively coupled phase oscillators. Two approaches -- a quasi-continuous approximation and an iterative numerical solution of the lattice equation -- allow us to characterize different types of traveling waves: compactons, kovatons, solitary waves with exponential tails as well as a novel type of semi-compact waves that are compact from one side. Stability of these waves is studied using numerical simulations of the initial value problem.