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Bifurcation Analysis and Solitary Wave Analysis of the Nonlinear Fractional Soliton Neuron Model

dc.authorid Tunc, Cemil/0000-0003-2909-8753
dc.authorid Alam, Prof. Dr. Md. Nur/0000-0001-6815-678X
dc.authorscopusid 55979705100
dc.authorscopusid 58695668400
dc.authorscopusid 58696911100
dc.authorscopusid 58696168800
dc.authorscopusid 58695918500
dc.authorscopusid 6603328862
dc.authorwosid Tunç, Cemil/Afh-0945-2022
dc.authorwosid Alam, Prof. Dr. Md. Nur/T-7027-2019
dc.contributor.author Alam, Md. Nur
dc.contributor.author Akash, Hemel Sharker
dc.contributor.author Saha, Uzzal
dc.contributor.author Hasan, Md. Shahid
dc.contributor.author Parvin, Mst. Wahida
dc.contributor.author Tunc, Cemil
dc.date.accessioned 2025-05-10T17:18:39Z
dc.date.available 2025-05-10T17:18:39Z
dc.date.issued 2023
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Alam, Md. Nur; Saha, Uzzal; Hasan, Md. Shahid; Parvin, Mst. Wahida] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh; [Akash, Hemel Sharker] Pabna Univ Sci & Technol, Dept Comp Sci & Engn, Pabna 6600, Bangladesh; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye en_US
dc.description Tunc, Cemil/0000-0003-2909-8753; Alam, Prof. Dr. Md. Nur/0000-0001-6815-678X en_US
dc.description.abstract Fractional nonlinear soliton neuron model (FNLSNM) equation is mathematical interpretations employed to describe a wide range of complicated phenomena occurring in neuroscience and obscure mode of action of numerous anesthetics. FNLSNM equation explains how action potential is started and performed along axons depending on a thermodynamic theory of nerve pulse propagation. The signals that pass through the cell membrane were suggested to be in different forms of solitary sound pulses which can be modeled as solitons. So, the scientific community has exposed momentous interest in FNLSNM equation and their Bifurcation analysis (BA) and solitary wave analysis (SWA). This study employs the modified (G '/G)-expansion (M-(G '/G)-E) method to derive BA and SWA for the FNLSNM equation, utilizing the Jumarie's fractional derivative (JFD). 3D and BA figures are presented of FNLSNM equation. Furthermore, 2D plots are produced to examine how the fractional parameter (FP) and time space parameter (TSP) affects the SWA. The Hamiltonian function (HF) is established to advance analyses the dynamics of the phase plane (PP). The simulations were performed through Python and MAPLE software instruments. The effects of different studies showed that the M-(G '/G)-E method is pretty well-organized and is well well-matched for the difficulties arising in neuroscience and mathematical physics. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1007/s40995-023-01555-y
dc.identifier.endpage 1764 en_US
dc.identifier.issn 2731-8095
dc.identifier.issn 2731-8109
dc.identifier.issue 5-6 en_US
dc.identifier.scopus 2-s2.0-85176752606
dc.identifier.scopusquality Q4
dc.identifier.startpage 1751 en_US
dc.identifier.uri https://doi.org/10.1007/s40995-023-01555-y
dc.identifier.uri https://hdl.handle.net/20.500.14720/9742
dc.identifier.volume 47 en_US
dc.identifier.wos WOS:001107738600001
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Springer int Publ Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Fractional Nonlinear Soliton Neuron Model Equation en_US
dc.subject Modified (G '/G)-Expansion Method en_US
dc.subject Bifurcation Analysis en_US
dc.subject Solitary Wave Analysis en_US
dc.subject The Jumarie'S Fractional Derivative en_US
dc.title Bifurcation Analysis and Solitary Wave Analysis of the Nonlinear Fractional Soliton Neuron Model en_US
dc.type Article en_US

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