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arXiv · 0709.1913

Modulational instability and nonlocality management in coupled NLS system

Evgeny V. Doktorov·Maxim A. Molchan
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Abstract

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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Evgeny V. Doktorov, Maxim A. Molchan. 2007-09-12. Modulational instability and nonlocality management in coupled NLS system. https://doi.org/10.1088/0031-8949%2F76%2F5%2F025

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