Abstract
We investigate the interaction between external noise and spatial degrees of freedom for two coupled complex Ginzburg-Landau equations for counterpropagating traveling waves. Among the qualitatively new features caused by the nonlinear cross-coupling between the waves we find: transitions from convectively unstable to absolutely unstable behavior and vice versa, transition from subcritical to convectively or absolutely unstable supercritical behavior and a partial annihilation of colliding slugs, localized structures occurring between two stable laminar flow regimes. We also include a comparison with recent experimental results obtained near the convective onset in binary fluid mixtures.
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