Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field

Details Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field

1994-09-06

arxiv.org/abs/patt-sol/9409001v1

Physica D 85 (1995) 79-92

Nonlinear Sciences

Pattern Formation and Solitons

9 pages (RevTex), 9 figures (postscript)

Scientific paper

Motivated by the observation of localized traveling-wave states (`pulses') in convection in binary liquid mixtures, the interaction of fronts is investigated in a real Ginzburg-Landau equation which is coupled to a mean field. In that system the Ginzburg-Landau equation describes the traveling-wave amplitude and the mean field corrsponds to a concentration mode which arises due to the slowness of mass diffusion. For single fronts the mean field can lead to a hysteretic transition between slow and fast fronts. Its contribution to the interaction between fronts can be attractive as well as repulsive and depends strongly on their direction of propagation. Thus, the concentration mode leads to a new localization mechanism, which does not require any dispersion in contrast to that operating in the nonlinear Schr\"odinger equation. Based on this mechanism alone, pairs of fronts in binary-mixture convection are expected to form {\it stable} pulses if they travel {\it backward}, i.e. opposite to the phase velocity. For positive velocities the interaction becomes attractive and destabilizes the pulses. These results are in qualitative agreement with recent experiments. Since the new mechanism is very robust it is expected to be relevant in other systems as well in which a wave is coupled to a mean field.

Affiliated with

Also associated with

No associations

Rating

Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-339332