Simulation of new waves in applied sciences via Schrödinger equations
The perturbed chiral nonlinear Schrö dinger equation (PCNLSE) reflects the quantum actions such as quantum pictures of Bohm potential and internal self-potential properties. Indeed, this equation introduces the basics of the hidden variable theory in quantum mechanics. Two unified solver methods and...
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| Format: | Article |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2023.2285082 |
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| author | Areej Almuneef Zuhur Alqahtani E.K. El-Shewy Mahmoud A. E. Abdelrahman |
| author_facet | Areej Almuneef Zuhur Alqahtani E.K. El-Shewy Mahmoud A. E. Abdelrahman |
| author_sort | Areej Almuneef |
| collection | DOAJ |
| description | The perturbed chiral nonlinear Schrö dinger equation (PCNLSE) reflects the quantum actions such as quantum pictures of Bohm potential and internal self-potential properties. Indeed, this equation introduces the basics of the hidden variable theory in quantum mechanics. Two unified solver methods and exp[Formula: see text]-expansion technique applied to PCNLSE to present many solitonic solutions in an explicit and effective way. The behaviour of these solutions is of qualitatively different structural natures, relying on physical coefficient parameters. The application of three mathematical techniques to our model system provides us with several possible physical property solutions that account for the majority of many phenomena the model under study attempts to depict. The reported bright explosive envelopes, explosive solitons, periodic blow up, bright periodic envelope and huge solitary waves are highly applicable in plasma and nuclear physics, optical communications, electro-magnetic propagations, superfluid and in a lot other applied sciences. The results of this system's solitary structures are consistent with the characteristics of the nonlinear Schrödinger equation systems used to study dispersive modes and higher-order perturbed systems. For more details about the physical dynamical representation of the presented solutions, we have illustrated them with profile pictures using Mathematica and Matlab 18, to obtain complete configurations. The proposed approach can be applied to several equations arising in all applied sciences. |
| format | Article |
| id | doaj-art-c7b76b064d014019947188cf83da8de4 |
| institution | DOAJ |
| issn | 1658-3655 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj-art-c7b76b064d014019947188cf83da8de42025-08-20T02:49:31ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2023.2285082Simulation of new waves in applied sciences via Schrödinger equationsAreej Almuneef0Zuhur Alqahtani1E.K. El-Shewy2Mahmoud A. E. Abdelrahman3Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Physics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaDepartment of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaThe perturbed chiral nonlinear Schrö dinger equation (PCNLSE) reflects the quantum actions such as quantum pictures of Bohm potential and internal self-potential properties. Indeed, this equation introduces the basics of the hidden variable theory in quantum mechanics. Two unified solver methods and exp[Formula: see text]-expansion technique applied to PCNLSE to present many solitonic solutions in an explicit and effective way. The behaviour of these solutions is of qualitatively different structural natures, relying on physical coefficient parameters. The application of three mathematical techniques to our model system provides us with several possible physical property solutions that account for the majority of many phenomena the model under study attempts to depict. The reported bright explosive envelopes, explosive solitons, periodic blow up, bright periodic envelope and huge solitary waves are highly applicable in plasma and nuclear physics, optical communications, electro-magnetic propagations, superfluid and in a lot other applied sciences. The results of this system's solitary structures are consistent with the characteristics of the nonlinear Schrödinger equation systems used to study dispersive modes and higher-order perturbed systems. For more details about the physical dynamical representation of the presented solutions, we have illustrated them with profile pictures using Mathematica and Matlab 18, to obtain complete configurations. The proposed approach can be applied to several equations arising in all applied sciences.https://www.tandfonline.com/doi/10.1080/16583655.2023.2285082Perturbative chiral NLSEsolvers and exp-expansion methodschiral solitonic structuresphysical applicationsMathematica and Matlab34A34 |
| spellingShingle | Areej Almuneef Zuhur Alqahtani E.K. El-Shewy Mahmoud A. E. Abdelrahman Simulation of new waves in applied sciences via Schrödinger equations Journal of Taibah University for Science Perturbative chiral NLSE solvers and exp-expansion methods chiral solitonic structures physical applications Mathematica and Matlab 34A34 |
| title | Simulation of new waves in applied sciences via Schrödinger equations |
| title_full | Simulation of new waves in applied sciences via Schrödinger equations |
| title_fullStr | Simulation of new waves in applied sciences via Schrödinger equations |
| title_full_unstemmed | Simulation of new waves in applied sciences via Schrödinger equations |
| title_short | Simulation of new waves in applied sciences via Schrödinger equations |
| title_sort | simulation of new waves in applied sciences via schrodinger equations |
| topic | Perturbative chiral NLSE solvers and exp-expansion methods chiral solitonic structures physical applications Mathematica and Matlab 34A34 |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2023.2285082 |
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