Traveling waves and Compactons in Phase Oscillator Lattices
arXiv:0806.1833 · doi:10.1063/1.2955758
Abstract
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.
22 pages, 25 figures
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