On the Dynamics of the Complex Hirota-Dynamical Model

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

Mathematics, 2023, vol. 11, issue 23, 1-12

Abstract: 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.

Keywords: the complex Hirota-dynamical model; symbolic compuation; mathematical physics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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