Dragging two-dimensional discrete solitons by moving linear defects

Details Dragging two-dimensional discrete solitons by moving linear defects Dragging two-dimensional discrete solitons by moving linear defects

2011-07-04

arxiv.org/abs/1107.0637v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We study the mobility of small-amplitude solitons attached to moving defects which drag the solitons across a two-dimensional (2D) discrete nonlinear-Schr\"{o}dinger (DNLS) lattice. Findings are compared to the situation when a free small-amplitude 2D discrete soliton is kicked in the uniform lattice. In agreement with previously known results, after a period of transient motion the free soliton transforms into a localized mode pinned by the Peierls-Nabarro potential, irrespective of the initial velocity. However, the soliton attached to the moving defect can be dragged over an indefinitely long distance (including routes with abrupt turns and circular trajectories) virtually without losses, provided that the dragging velocity is smaller than a certain critical value. Collisions between solitons dragged by two defects in opposite directions are studied too. If the velocity is small enough, the collision leads to a spontaneous symmetry breaking, featuring fusion of two solitons into a single one, which remains attached to either of the two defects.

Affiliated with

Also associated with

No associations

Rating

Dragging two-dimensional discrete solitons by moving linear defects 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 Dragging two-dimensional discrete solitons by moving linear defects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dragging two-dimensional discrete solitons by moving linear defects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4294