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Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation

Yilmaz, H. (2024) Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation. Wave Motion, 124, 103245. (doi: 10.1016/j.wavemoti.2023.103245)

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Abstract

We construct the N-fold standard binary Darboux transformation (bDT) for the coupled Gerdjikov–Ivanov (cGI) equation. Then, using the bDT presented in this article, we explicitly construct the exact solutions of the cGI equation in terms of quasi-Grammians. As applications of the bDT, we present various particular solutions for the cGI equation, including soliton, breather, and rogue wave solutions.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Yilmaz, Dr Halis
Authors: Yilmaz, H.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Wave Motion
Publisher:Elsevier
ISSN:0165-2125
ISSN (Online):1878-433X
Published Online:29 October 2023
Copyright Holders:Copyright © 2023 Elsevier
First Published:First published in Wave Motion 124:103245
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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