On the Dynamics of the Complex Hirota-Dynamical Model

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 modifi...

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Main Authors: Arzu Akbulut, Melike Kaplan, Rubayyi T. Alqahtani, W. Eltayeb Ahmed
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/23/4851
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author Arzu Akbulut
Melike Kaplan
Rubayyi T. Alqahtani
W. Eltayeb Ahmed
author_facet Arzu Akbulut
Melike Kaplan
Rubayyi T. Alqahtani
W. Eltayeb Ahmed
author_sort Arzu Akbulut
collection DOAJ
description 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.
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spelling doaj.art-9bae16a8793f475fb7b6c157d82a70fe2023-12-08T15:21:57ZengMDPI AGMathematics2227-73902023-12-011123485110.3390/math11234851On the Dynamics of the Complex Hirota-Dynamical ModelArzu Akbulut0Melike Kaplan1Rubayyi T. Alqahtani2W. Eltayeb Ahmed3Department of Mathematics, Faculty of Art and Science, Bursa Uludag University, Bursa 16059, TurkeyDepartment of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, Kastamonu 37150, TurkeyDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi ArabiaThe 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.https://www.mdpi.com/2227-7390/11/23/4851the complex Hirota-dynamical modelsymbolic compuationmathematical physics
spellingShingle Arzu Akbulut
Melike Kaplan
Rubayyi T. Alqahtani
W. Eltayeb Ahmed
On the Dynamics of the Complex Hirota-Dynamical Model
Mathematics
the complex Hirota-dynamical model
symbolic compuation
mathematical physics
title On the Dynamics of the Complex Hirota-Dynamical Model
title_full On the Dynamics of the Complex Hirota-Dynamical Model
title_fullStr On the Dynamics of the Complex Hirota-Dynamical Model
title_full_unstemmed On the Dynamics of the Complex Hirota-Dynamical Model
title_short On the Dynamics of the Complex Hirota-Dynamical Model
title_sort on the dynamics of the complex hirota dynamical model
topic the complex Hirota-dynamical model
symbolic compuation
mathematical physics
url https://www.mdpi.com/2227-7390/11/23/4851
work_keys_str_mv AT arzuakbulut onthedynamicsofthecomplexhirotadynamicalmodel
AT melikekaplan onthedynamicsofthecomplexhirotadynamicalmodel
AT rubayyitalqahtani onthedynamicsofthecomplexhirotadynamicalmodel
AT weltayebahmed onthedynamicsofthecomplexhirotadynamicalmodel