Convective and absolute Eckhaus instability leading to modulated waves in a finite box

Phys Rev Lett. 2002 Apr 1;88(13):134501. doi: 10.1103/PhysRevLett.88.134501. Epub 2002 Mar 13.

Abstract

We report an experimental study of the secondary modulational instability of a one-dimensional nonlinear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatiotemporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatiotemporal defects control the global mode structure.