Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method
The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions. This article considers the NFMT model in terms of a modified Riemann–Liouville fractional derivative. The novel travelli...
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| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/5/252 |
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| author | Mohammed Shqair Mohammed Alabedalhadi Shrideh Al-Omari Mohammed Al-Smadi |
| author_facet | Mohammed Shqair Mohammed Alabedalhadi Shrideh Al-Omari Mohammed Al-Smadi |
| author_sort | Mohammed Shqair |
| collection | DOAJ |
| description | The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions. This article considers the NFMT model in terms of a modified Riemann–Liouville fractional derivative. The novel travelling wave solutions of the considered model are investigated by employing an effective analytic approach based on a complex fractional transformation and Jacobi elliptic functions. The extended Jacobi elliptic function method is a systematic tool for restoring many of the well-known results of complex fractional systems by identifying suitable options for arbitrary elliptic functions. To understand the physical characteristics of NFMT, the 3D graphical representations of the obtained propagation wave solutions for some free physical parameters are randomly drawn for a different order of the fractional derivatives. The results indicate that the proposed method is reliable, simple, and powerful enough to handle more complicated nonlinear fractional partial differential equations in quantum mechanics. |
| first_indexed | 2024-03-10T03:52:38Z |
| format | Article |
| id | doaj.art-d73005f5485243b293cef1a061a4a27c |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T03:52:38Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-d73005f5485243b293cef1a061a4a27c2023-11-23T11:03:33ZengMDPI AGFractal and Fractional2504-31102022-05-016525210.3390/fractalfract6050252Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function MethodMohammed Shqair0Mohammed Alabedalhadi1Shrideh Al-Omari2Mohammed Al-Smadi3Department of Physics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, JordanDepartment of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11183, JordanCollege of Commerce and Business, Lusail University, Doha 122104, QatarThe fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions. This article considers the NFMT model in terms of a modified Riemann–Liouville fractional derivative. The novel travelling wave solutions of the considered model are investigated by employing an effective analytic approach based on a complex fractional transformation and Jacobi elliptic functions. The extended Jacobi elliptic function method is a systematic tool for restoring many of the well-known results of complex fractional systems by identifying suitable options for arbitrary elliptic functions. To understand the physical characteristics of NFMT, the 3D graphical representations of the obtained propagation wave solutions for some free physical parameters are randomly drawn for a different order of the fractional derivatives. The results indicate that the proposed method is reliable, simple, and powerful enough to handle more complicated nonlinear fractional partial differential equations in quantum mechanics.https://www.mdpi.com/2504-3110/6/5/252fractional massive Thirring modelJacobi expansion methodnonlinear partial differential equationtravelling wave solutionquantum field theory |
| spellingShingle | Mohammed Shqair Mohammed Alabedalhadi Shrideh Al-Omari Mohammed Al-Smadi Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method Fractal and Fractional fractional massive Thirring model Jacobi expansion method nonlinear partial differential equation travelling wave solution quantum field theory |
| title | Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method |
| title_full | Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method |
| title_fullStr | Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method |
| title_full_unstemmed | Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method |
| title_short | Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method |
| title_sort | abundant exact travelling wave solutions for a fractional massive thirring model using extended jacobi elliptic function method |
| topic | fractional massive Thirring model Jacobi expansion method nonlinear partial differential equation travelling wave solution quantum field theory |
| url | https://www.mdpi.com/2504-3110/6/5/252 |
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