On Darboux transformations for the derivative nonlinear Schr\"odinger equation
Exactly Solvable and Integrable Systems
2014-07-04 v1
Abstract
We consider Darboux transformations for the derivative nonlinear Schr\"odinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Additionally, the parabolic and soliton solutions of the derivative nonlinear Schr\"odinger equation are given as explicit examples.
Cite
@article{arxiv.1401.1536,
title = {On Darboux transformations for the derivative nonlinear Schr\"odinger equation},
author = {Jonathan J. C. Nimmo and Halis Yilmaz},
journal= {arXiv preprint arXiv:1401.1536},
year = {2014}
}
Comments
14 pages