On Darboux transformations for the derivative nonlinear Schrödinger equation

Nimmo, J. J.C. and Yilmaz, H. (2014) On Darboux transformations for the derivative nonlinear Schrödinger equation. Journal of Nonlinear Mathematical Physics, 21(2), pp. 278-293. (doi: 10.1080/14029251.2014.905301)

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Abstract

We consider Darboux transformations for the derivative nonlinear Schrödinger 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 Schrödinger equation are given as explicit examples.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Nimmo, Dr Jonathan and Yilmaz, Dr Halis
Authors: Nimmo, J. J.C., and Yilmaz, H.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Nonlinear Mathematical Physics
Publisher:Taylor and Francis
ISSN:1402-9251
ISSN (Online):1776-0852

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