Chaotic perturbations of solitons in complex conformable Maccari system
In this research work, we use the generalized Bernoulli equation method (gBEM) to investigate the chaotic nature of solitons in complex structured conformable coupled Maccari system (CCMS) which is a fractional generalization of a nonlinear model coupled Maccari system (CMS) initially created to sim...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025305 |
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| author | M. Mossa Al-Sawalha Safyan Mukhtar Azzh Saad Alshehry Mohammad Alqudah Musaad S. Aldhabani |
| author_facet | M. Mossa Al-Sawalha Safyan Mukhtar Azzh Saad Alshehry Mohammad Alqudah Musaad S. Aldhabani |
| author_sort | M. Mossa Al-Sawalha |
| collection | DOAJ |
| description | In this research work, we use the generalized Bernoulli equation method (gBEM) to investigate the chaotic nature of solitons in complex structured conformable coupled Maccari system (CCMS) which is a fractional generalization of a nonlinear model coupled Maccari system (CMS) initially created to simulate hydraulic systems. This key model has numerous applications in several disciplines such as hydrodynamics, optics, quantum mechanics and plasma physics. The proposed gBEM converts the CCMS into a set of nonlinear ordinary differential equations (NODEs) to construct fresh plethora of soliton solutions in the form of rational, trigonometric, hyperbolic, and exponential functions. To comprehend the dynamics of acquired solitons in CCMS, a series of 3D and counter plots are used which graphically illustrate and reveal two types of chaotic perturbations, namely axial and periodic perturbations in the acquired solitons. Furthermore, the efficiency and adaptability of our method in handling a range of nonlinear models in mathematical science and engineering are confirmed by our computational work. |
| format | Article |
| id | doaj-art-3d15995e91124c35aa9dcd3cd1ed9653 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-3d15995e91124c35aa9dcd3cd1ed96532025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-03-011036664669310.3934/math.2025305Chaotic perturbations of solitons in complex conformable Maccari systemM. Mossa Al-Sawalha0Safyan Mukhtar1Azzh Saad Alshehry2Mohammad Alqudah3Musaad S. Aldhabani4Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi ArabiaDepartment of Basic Sciences, General Administration of Preparatory Year, King Faisal University, P.O. Box 400, Al Ahsa 31982, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Basic Sciences, School of Electrical Engineering & Information Technology, German Jordanian University, Amman 11180, JordanDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O.Box741, Tabuk 71491, Saudi ArabiaIn this research work, we use the generalized Bernoulli equation method (gBEM) to investigate the chaotic nature of solitons in complex structured conformable coupled Maccari system (CCMS) which is a fractional generalization of a nonlinear model coupled Maccari system (CMS) initially created to simulate hydraulic systems. This key model has numerous applications in several disciplines such as hydrodynamics, optics, quantum mechanics and plasma physics. The proposed gBEM converts the CCMS into a set of nonlinear ordinary differential equations (NODEs) to construct fresh plethora of soliton solutions in the form of rational, trigonometric, hyperbolic, and exponential functions. To comprehend the dynamics of acquired solitons in CCMS, a series of 3D and counter plots are used which graphically illustrate and reveal two types of chaotic perturbations, namely axial and periodic perturbations in the acquired solitons. Furthermore, the efficiency and adaptability of our method in handling a range of nonlinear models in mathematical science and engineering are confirmed by our computational work.https://www.aimspress.com/article/doi/10.3934/math.2025305generalised bernoulli equation methodnonlinear fractional partial differential equationcomplex conformable maccari's systemchaotic solitonsconformable derivativeperiodic and axial perturbation |
| spellingShingle | M. Mossa Al-Sawalha Safyan Mukhtar Azzh Saad Alshehry Mohammad Alqudah Musaad S. Aldhabani Chaotic perturbations of solitons in complex conformable Maccari system AIMS Mathematics generalised bernoulli equation method nonlinear fractional partial differential equation complex conformable maccari's system chaotic solitons conformable derivative periodic and axial perturbation |
| title | Chaotic perturbations of solitons in complex conformable Maccari system |
| title_full | Chaotic perturbations of solitons in complex conformable Maccari system |
| title_fullStr | Chaotic perturbations of solitons in complex conformable Maccari system |
| title_full_unstemmed | Chaotic perturbations of solitons in complex conformable Maccari system |
| title_short | Chaotic perturbations of solitons in complex conformable Maccari system |
| title_sort | chaotic perturbations of solitons in complex conformable maccari system |
| topic | generalised bernoulli equation method nonlinear fractional partial differential equation complex conformable maccari's system chaotic solitons conformable derivative periodic and axial perturbation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025305 |
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