Modulational instability and nonlocality management in coupled NLS system

Details Modulational instability and nonlocality management in coupled NLS system Modulational instability and nonlocality management in coupled NLS system

2007-09-12

arxiv.org/abs/0709.1913v1

Physica Scripta 76 (2007) 558-564

Nonlinear Sciences

Pattern Formation and Solitons

15 pages, 12 figures, to be published in Physica Scripta

Scientific paper

10.1088/0031-8949/76/5/025

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.

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