Soliton interaction with small Toeplitz potentials for the Szego equation on the real line

Details Soliton interaction with small Toeplitz potentials for the Szego equation on the real line Soliton interaction with small Toeplitz potentials for the Szego equation on the real line

2011-10-23

arxiv.org/abs/1110.5071v1

Mathematics

Analysis of PDEs

26 pages

Scientific paper

We consider the cubic Szego equation perturbed by a small Toeplitz potential
(natural generalization of a multiplicative potential) and having as initial
condition a soliton of the unperturbed equation. We show that the solution
preserves the soliton shape for a long time, and we determine the effective
ODEs satisfied by the modulation parameters of the soliton.

Affiliated with

Also associated with

No associations

Rating

Soliton interaction with small Toeplitz potentials for the Szego equation on the real line 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 Soliton interaction with small Toeplitz potentials for the Szego equation on the real line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Soliton interaction with small Toeplitz potentials for the Szego equation on the real line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526938