Covariant hodograph transformations between nonlocal short pulse models and AKNS$(-1)$ system
Exactly Solvable and Integrable Systems
2017-12-25 v1
Abstract
The paper presents hodograph transformation between nonlocal short pulse models and the first member in the AKNS negative hierarchy (AKNS()). We consider real and complex multi-component cases. It is shown that the independent variables of the short pulse models and AKNS() that are connected via hodograph transformation are covariant in nonlocal reductions.
Keywords
Cite
@article{arxiv.1712.08390,
title = {Covariant hodograph transformations between nonlocal short pulse models and AKNS$(-1)$ system},
author = {Kui Chen and Shimin Liu and Da-jun Zhang},
journal= {arXiv preprint arXiv:1712.08390},
year = {2017}
}