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arXiv · 1605.00376

Drift-induced Benjamin-Feir instabilities

Francesca Di Patti·Duccio Fanelli·Timoteo Carletti
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Abstract

A modified version of the Ginzburg-Landau equation is introduced which accounts for asymmetric couplings between neighbors sites on a one-dimensional lattice, with periodic boundary conditions. The drift term which reflects the imposed microscopic asymmetry seeds a generalized class of instabilities, reminiscent of the Benjamin-Feir type. The uniformly synchronized solution is spontaneously destabilized outside the region of parameters classically associated to the Benjamin-Feir instability, upon injection of a non homogeneous perturbation. The ensuing patterns can be of the traveling wave type or display a patchy, colorful mosaic for the modulus of the complex oscillators amplitude.

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Francesca Di Patti, Duccio Fanelli, Timoteo Carletti. 2016-05-02. Drift-induced Benjamin-Feir instabilities. https://doi.org/10.1209/0295-5075/114/68003

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