|
|
|
Analytical wave solutions of an electronically and biologically important model via two efficient schemes |
| Qingbo Huang1,†, Asim Zafar2, M. Raheel2, and Ahmet Bekir3,‡ |
1 Chongqing College of Architecture and Technology, Chongqing 401331, China;
2 Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan;
3 Neighbourhood of Akcaglan, Imarli Street, No. 28/4, Eskisehir 26030, Turkey |
|
|
|
|
Abstract We search for analytical wave solutions of an electronically and biologically important model named as the Fitzhugh-Nagumo model with truncated M-fractional derivative, in which the expa function and extended sinh-Gordon equation expansion (EShGEE) schemes are utilized. The solutions obtained include dark, bright, dark-bright, periodic and other kinds of solitons. These analytical wave solutions are gained and verified with the use of Mathematica software. These solutions do not exist in literature. Some of the solutions are demonstrated by 2D, 3D and contour graphs. This model is mostly used in circuit theory, transmission of nerve impulses, and population genetics. Finally, both the schemes are more applicable, reliable and significant to deal with the fractional nonlinear partial differential equations.
|
Received: 26 May 2023
Revised: 18 June 2023
Accepted manuscript online: 11 July 2023
|
|
PACS:
|
02.30.Jr
|
(Partial differential equations)
|
| |
04.20.Jb
|
(Exact solutions)
|
| |
05.45.Yv
|
(Solitons)
|
|
Corresponding Authors:
Qingbo Huang, Ahmet Bekir
E-mail: hw913987@126.com;bekirahmet@gmail.com
|
Cite this article:
Qingbo Huang, Asim Zafar, M. Raheel, and Ahmet Bekir Analytical wave solutions of an electronically and biologically important model via two efficient schemes 2023 Chin. Phys. B 32 110201
|
[1] Nilkanta D and Ray S S 2023 Opt. Quantum Electron. 55 328
[2] Nilkanta D and Ray S S 2022 Opt. Quantum Electron. 54 544
[3] Nilkanta D and Ray S S 2022 Opt. Quantum Electron. 54 112
[4] Ray S S and Nilkanta D 2022 Mod. Phys. Lett. B 36 2150544
[5] Rasool T, Hussain R, Al Sharif M, Mahmoud W and Osman M S 2023 Opt. Quantum Electron. 55 396
[6] Jaradat I, Sulaiman T A, Alshomrani A S, Yusuf A, Alquran M and Baleanu D 2023 Opt. Quantum Electron. 55 361
[7] Raza N, Arshed S, Khan K A and Baleanu D 2021 Mod. Phys. Lett. B 35 2150317
[8] Akbulut A, Taşcan F and Özel E 2012 Partial Different. Equ. Appl. Math. 4 100101
[9] Hosseini K, Akbulut A, Baleanu D and Salahshour S 2022 Commun. Theor. Phys. 74 025001
[10] Mirzazadeh M, Akbulut A, Tascan F and Akinyemi L 2022 Optik 252 168529
[11] Akbulut A and Kumar D 2023 Journal of Ocean Engineering and Science (in press)
[12] Raheel M, Inc M, Tala-Tebue E and Mahmoud K H 2022 Opt. Quantum Electron. 54 560
[13] Zafar A, Raheel M, Rezazadeh H, Inc M and Akinlar M A 2021 Opt. Quantum Electron. 53 604
[14] Rahman Z, Abdeljabbar A and Ali M Z 2022 Fractal and Fractional 6 444
[15] Shqair M, Alabedalhadi M, and Al-Omari S and Al-Smadi M 2022 Fractal and Fractional 6 252
[16] Ciancio A, Yel G, Kumar A, Baskonus H M and İlhan E 2022 Fractals 30 2240018
[17] Yan L, Baskonus H M, Cattani C and Gao W 2023 Math. Meth. Appl. Sci. (in press)
[18] Eslami M and Rezazadeh H 2016 Calcolo 53 475
[19] Rezazadeh H 2018 Optik 167 218
[20] Yao S W, Behera S, Inc M, Rezazadeh H, Virdi J P S, Mahmoud W, Arqub O A and Osman M S 2022 Results Phys. 42 105990
[21] Das P K, Mirhosseini-Alizamini S M, Gholamic D and Rezazadeh H 2023 Optik 283 170888
[22] Bekir A, Ayhan B and Ozer M N 2013 Chin. Phys. B 22 010202
[23] Ming S, Beidan W and Jun C 2020 Chin. Phys. B 29 100206
[24] Cai Q S, Dong M X and Zuo N Z 2017 Chin. Phys. B 26 100204
[25] Ahmad T A and Ezzat R H 2010 Appl. Math. Comput. 217 451
[26] Yan C 1996 Phys. Lett. A 224 77
[27] Zafar A, Bekir A, Raheel M and Rezazadeh H 2020 Int. J. Appl. Comput. Math. 6 65
[28] Zafar A, Raheel M, Hosseini K, Mirzazadeh M, Salahshour S, Park C and Shin D Y 2021 Results Phys. 31 104882
[29] Ali K K, Raheel M and Inc M 2022 Mod. Phys. Lett. B 36 2250089
[30] Zafar A, Bekir A, Raheel M and Razzaq W 2020 Optik 222 165355
[31] Kumar D, Manafian J, Hawlader F and Ranjbaran A 2018 Optik 160 159
[32] Cevikel A C, Bekir A, Abu Arqub O and Abukhaled M 2022 Front. Phys. 10 1028668
[33] Mohyud-Din S T, Khan Y, Faraz N and Yildirim A 2012 Int. J. Numer. Methods Heat Fluid Flow 22 335
[34] Tasbozan O and Kurt A 2020 Adiyaman University Journal of Science 10 256
[35] Tukur A S, Yel G and Bulut H 2019 Mod. Phys. Lett. B 32 1950052
[36] Sousa J V C and Oliveira C D E 2018 Int. J. Anal. Appl. 16 83
[37] Zayed E M E and Al-Nowehy A G 2017 J. Space Explor. 6 120
[38] Hosseini K, Ayati Z and Ansari R 2018 J. Mod. Opt. 65 847
[39] Zafar A 2019 Nonlinear Eng. 8 728
[40] Yang X L and Tang J S 2008 Commun. Theor. Phys. 50 1047 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
