Destabilization and Localization of Traveling Waves by an Advected Field

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

23 Pages, 9 Figures

Scientific paper

10.1016/S0167-2789(01)00272-X

{We study a model of small-amplitude traveling waves arising in a supercritical Hopf-bifurcation, that are coupled to a slowly varying, real field. The field is advected by the waves and, in turn, affects their stability via a coupling to the growth rate. In the absence of dispersion we identify two distinct shortwave instabilities. One instability induces a phase slip of the waves and a corresponding reduction of the winding number, while the other leads to a modulated wave structure. The bifurcation to modulated waves can be either forward or backward, in the latter case permitting the existence of localized, traveling pulses which are bistable with the basic, conductive state.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Destabilization and Localization of Traveling Waves by an Advected 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 Destabilization and Localization of Traveling Waves by an Advected Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Destabilization and Localization of Traveling Waves by an Advected Field will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-343645

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.