On the Dynamics of the Complex Hirota-Dynamical Model

Author:

Akbulut Arzu1ORCID,Kaplan Melike2ORCID,Alqahtani Rubayyi T.3,Ahmed W. Eltayeb3ORCID

Affiliation:

1. Department of Mathematics, Faculty of Art and Science, Bursa Uludag University, Bursa 16059, Turkey

2. Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, Kastamonu 37150, Turkey

3. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia

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.

Funder

Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference36 articles.

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