On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation

Details On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation

2004-04-24

arxiv.org/abs/cond-mat/0404597v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

The modulational instability of spatially uniform states in the nonlinear Schr\"odinger equation is examined in the presence of higher-order dissipation. The study is motivated by results on the effects of three-body recombination in Bose-Einstein condensates, as well as by the important recent work of Segur et al. on the effects of linear damping in NLS settings. We show how the presence of even the weakest possible dissipation suppresses the instability on a longer time scale. However, on a shorter scale, the instability growth may take place, and a corresponding generalization of the MI criterion is developed. The analytical results are corroborated by numerical simulations. The method is valid for any power-law dissipation form, including the constant dissipation as a special case.

Affiliated with

Also associated with

No associations

Rating

On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation 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 On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120446