Inelastic interaction of nearly equal solitons for the BBM equation

Details Inelastic interaction of nearly equal solitons for the BBM equation Inelastic interaction of nearly equal solitons for the BBM equation

2009-11-04

arxiv.org/abs/0911.0932v1

Mathematics

Analysis of PDEs

Scientific paper

This paper is concerned with the interaction of two solitons of nearly equal speeds for the (BBM) equation. This work is an extension of the results obtained in arXiv:0910.3204 by the same authors, addressing the same question for the quartic (gKdV) equation. First, we prove that the two solitons are preserved by the interaction and that for all time they are separated by a large distance, as in the case of the integrable (KdV) equation in this regime. Second, we prove that the collision is not perfectly elastic, except in the integrable case (i.e. in the limiting case of the (KdV) equation).

Affiliated with

Also associated with

No associations

Rating

Inelastic interaction of nearly equal solitons for the BBM 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 Inelastic interaction of nearly equal solitons for the BBM equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inelastic interaction of nearly equal solitons for the BBM equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417501