Dressing by regularization to the Gerdjikov-Ivanov equation and the higher-order soliton
Exactly Solvable and Integrable Systems
2015-10-29 v2
Abstract
Higher-order solitons, as well as simple -soliton solutions, of the Gerdjikov-Ivanov equation are derived by the dressing method based on the technique of regularization. By the dressing transformation for the eigenfunction associated with a seed solution, the regularity conditions of the dressed eigenfunctions are found to establish the relationship between the potential and the scattering data.
Keywords
Cite
@article{arxiv.1504.03407,
title = {Dressing by regularization to the Gerdjikov-Ivanov equation and the higher-order soliton},
author = {Juanjuan Yang and Junyi Zhu and Linlin Wang},
journal= {arXiv preprint arXiv:1504.03407},
year = {2015}
}
Comments
28 pages, 1 figure