Soliton interaction with small Toeplitz potentials for the Szego equation on the real line
Analysis of PDEs
2011-10-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1110.5071,
title = {Soliton interaction with small Toeplitz potentials for the Szego equation on the real line},
author = {Oana Pocovnicu},
journal= {arXiv preprint arXiv:1110.5071},
year = {2011}
}
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26 pages