Traveling solitons in the damped driven nonlinear Schrödinger equation

Details Traveling solitons in the damped driven nonlinear Schrödinger equation Traveling solitons in the damped driven nonlinear Schrödinger equation

2003-09-09

arxiv.org/abs/nlin/0309031v1

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, 9 figures; to appear in SIAM Journal of Applied Mathematics

Scientific paper

The well known effect of the linear damping on the moving nonlinear Schr\"odinger soliton (even when there is a supply of energy via the spatially homogeneous driving) is to quench its momentum to zero. Surprisingly, the zero momentum does not necessarily mean zero velocity. We show that two or more parametrically driven damped solitons can form a complex traveling with zero momentum at a nonzero constant speed. All traveling complexes we have found so far, turned out to be unstable. Thus, the parametric driving is capable of sustaining the uniform motion of damped solitons, but some additional agent is required to stabilize it.

Affiliated with

Also associated with

No associations

Rating

Traveling solitons in the damped driven nonlinear Schrödinger equation 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 Traveling solitons in the damped driven nonlinear Schrödinger equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Traveling solitons in the damped driven nonlinear Schrödinger equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390668