The modulational instability of two interacting waves in a nonlocal Kerr-type medium is considered analytically and numerically. For a generic choice of wave amplitudes, we give a complete description of stable/unstable regimes for zero group-velocity mismatch. It is shown that nonlocality suppresses considerably the growth rate and bandwidth of instability. For nonzero group-velocity mismatch we perform a geometrical analysis of a nonlocality management which can provide stability of waves otherwise unstable in a local medium.
@article{arxiv.0709.1913,
title = {Modulational instability and nonlocality management in coupled NLS system},
author = {Evgeny V. Doktorov and Maxim A. Molchan},
journal= {arXiv preprint arXiv:0709.1913},
year = {2009}
}
Comments
15 pages, 12 figures, to be published in Physica Scripta