Darboux Transformation for the Hirota equation
Exactly Solvable and Integrable Systems
2022-07-14 v1
Abstract
The Hirota equation is an integrable higher order nonlinear Schr\"{o}dinger type equation which describes the propagation of ultrashort light pulses in optical fibers. We present a standard Darboux transformation for the Hirota equation and then construct its quasideterminant solutions. The multisoliton and breather solutions of the Hirota equation are given explicitly.
Keywords
Cite
@article{arxiv.2010.05452,
title = {Darboux Transformation for the Hirota equation},
author = {Halis Yilmaz},
journal= {arXiv preprint arXiv:2010.05452},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1501.07634