Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach
In this paper, we investigate the numerical solution of the coupled fractional massive Thirring equation with the aid of He’s fractional complex transform (FCT). This study plays a significant aspect in the field of quantum physics, weakly nonlinear thrilling waves, and nonlinear optics. The main ad...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/4141988 |
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| _version_ | 1850212143400484864 |
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| author | Jinxing Liu Muhammad Nadeem Mustafa Habib Shazia Karim Harun Or Roshid |
| author_facet | Jinxing Liu Muhammad Nadeem Mustafa Habib Shazia Karim Harun Or Roshid |
| author_sort | Jinxing Liu |
| collection | DOAJ |
| description | In this paper, we investigate the numerical solution of the coupled fractional massive Thirring equation with the aid of He’s fractional complex transform (FCT). This study plays a significant aspect in the field of quantum physics, weakly nonlinear thrilling waves, and nonlinear optics. The main advantage of FCT is that it converts the fractional differential equation into its traditional parts and is also capable to handle the fractional order, whereas the homotopy perturbation method (HPM) is employed to tackle the nonlinear terms in the coupled fractional massive Thirring equation. An example is illustrated to present the efficiency and validity of the two-scale theory. The solutions are obtained in the form of series with simple and easy computations which confirm that the present approach is good in agreement and is easy to implement for such type of complex systems in science and engineering. |
| format | Article |
| id | doaj-art-8ac3d6a395fe45e48e12a17ff42332fe |
| institution | OA Journals |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8ac3d6a395fe45e48e12a17ff42332fe2025-08-20T02:09:24ZengWileyComplexity1099-05262022-01-01202210.1155/2022/4141988Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale ApproachJinxing Liu0Muhammad Nadeem1Mustafa Habib2Shazia Karim3Harun Or Roshid4Faculty of ScienceFaculty of ScienceDepartment of MathematicsDepartment of Basic SciencesDepartment of MathematicsIn this paper, we investigate the numerical solution of the coupled fractional massive Thirring equation with the aid of He’s fractional complex transform (FCT). This study plays a significant aspect in the field of quantum physics, weakly nonlinear thrilling waves, and nonlinear optics. The main advantage of FCT is that it converts the fractional differential equation into its traditional parts and is also capable to handle the fractional order, whereas the homotopy perturbation method (HPM) is employed to tackle the nonlinear terms in the coupled fractional massive Thirring equation. An example is illustrated to present the efficiency and validity of the two-scale theory. The solutions are obtained in the form of series with simple and easy computations which confirm that the present approach is good in agreement and is easy to implement for such type of complex systems in science and engineering.http://dx.doi.org/10.1155/2022/4141988 |
| spellingShingle | Jinxing Liu Muhammad Nadeem Mustafa Habib Shazia Karim Harun Or Roshid Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach Complexity |
| title | Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach |
| title_full | Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach |
| title_fullStr | Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach |
| title_full_unstemmed | Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach |
| title_short | Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach |
| title_sort | numerical investigation of the nonlinear coupled fractional massive thirring equation using two scale approach |
| url | http://dx.doi.org/10.1155/2022/4141988 |
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