Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations

Yilmaz, H. (2015) Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations. Journal of Nonlinear Mathematical Physics, 22(1), pp. 32-46. (doi: 10.1080/14029251.2015.996438)

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Publisher's URL: http://dx.doi.org/10.1080/14029251.2015.996438

Abstract

We study the Gerdjikov-Ivanov (GI) equation and present a standard Darboux transformation for it. The solution is given in terms of quasideterminants. Further, the parabolic, soliton and breather solutions of the GI equation are given as explicit examples.

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

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