On the Dynamics of the Complex Hirota-Dynamical Model

Arzu Akbulut; Melike Kaplan; Rubayyi T. Alqahtani; W. Eltayeb Ahmed

doi:10.3390/math11234851

Mathematics (Dec 2023)

On the Dynamics of the Complex Hirota-Dynamical Model

Arzu Akbulut,
Melike Kaplan,
Rubayyi T. Alqahtani,
W. Eltayeb Ahmed

Affiliations

Arzu Akbulut: Department of Mathematics, Faculty of Art and Science, Bursa Uludag University, Bursa 16059, Turkey
Melike Kaplan: Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, Kastamonu 37150, Turkey
Rubayyi T. Alqahtani: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia
W. Eltayeb Ahmed: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia

DOI: https://doi.org/10.3390/math11234851
Journal volume & issue: Vol. 11, no. 23
p. 4851

Abstract

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The complex Hirota-dynamical Model (HDM) finds multifarious applications in fields such as plasma physics, fusion energy exploration, astrophysical investigations, and space studies. This study utilizes several soliton-type solutions to HDM via the modified simple equation and generalized and modified Kudryashov approaches. Modulation instability (MI) analysis is investigated. We also offer visual representations for the HDM.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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