A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells
Abstract This article describes the developed Paul-Painlike method (PPM) to provide striking ODE of the nanosoliton of the ionic waves (NSIW) that spread the length of microtubules in live cells. Furthermore, Auxiliary Equation Approach (AEA) and Sardar Sub Equation Approach (SSEA) have been utilize...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-02-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-83515-z |
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| author | Loubna Ouahid M. A. Abdou Jameelah S. Al Shahrani A. Mohamed Abdel-Baset Ali Akgül Murad Khan Hassani |
| author_facet | Loubna Ouahid M. A. Abdou Jameelah S. Al Shahrani A. Mohamed Abdel-Baset Ali Akgül Murad Khan Hassani |
| author_sort | Loubna Ouahid |
| collection | DOAJ |
| description | Abstract This article describes the developed Paul-Painlike method (PPM) to provide striking ODE of the nanosoliton of the ionic waves (NSIW) that spread the length of microtubules in live cells. Furthermore, Auxiliary Equation Approach (AEA) and Sardar Sub Equation Approach (SSEA) have been utilized similarly and concurrently to determine solutions for this particular model. In providing a physical explanation, various solitary wave structures are visually represented. These solutions include the anti-kink, kink shape, singular kink wave shape, and periodic bright, bright-dark and dark-singular soliton solution. Additionally, graphical illustrations (both 2-D and 3-D) demonstrate how the various parameters utilized affect the validity of analytical results. Furthermore, the uniqueness of the solutions we derived is highlighted by comparing the differences with earlier solutions of the model. The solutions produced may be beneficial in a number of significant investigations in medicine, as well as biology. The results demonstrate the effectiveness of the proposed techniques for determining many optical solitons of nonlinear evolution equations. |
| format | Article |
| id | doaj-art-e93d61874dca4891bdabfe2ab29dd8ef |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-e93d61874dca4891bdabfe2ab29dd8ef2025-08-20T03:10:51ZengNature PortfolioScientific Reports2045-23222025-02-0115111410.1038/s41598-024-83515-zA new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cellsLoubna Ouahid0M. A. Abdou1Jameelah S. Al Shahrani2A. Mohamed Abdel-Baset3Ali Akgül4Murad Khan Hassani5Department of Physics, College of Science, University of BishaDepartment of Physics, College of Science, University of BishaDepartment of Mathematics, College of Science, University of BishaDepartment of Physics, College of Science, University of BishaDepartment of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, ChennaiDepartment of Mathematics, Ghazni UniversityAbstract This article describes the developed Paul-Painlike method (PPM) to provide striking ODE of the nanosoliton of the ionic waves (NSIW) that spread the length of microtubules in live cells. Furthermore, Auxiliary Equation Approach (AEA) and Sardar Sub Equation Approach (SSEA) have been utilized similarly and concurrently to determine solutions for this particular model. In providing a physical explanation, various solitary wave structures are visually represented. These solutions include the anti-kink, kink shape, singular kink wave shape, and periodic bright, bright-dark and dark-singular soliton solution. Additionally, graphical illustrations (both 2-D and 3-D) demonstrate how the various parameters utilized affect the validity of analytical results. Furthermore, the uniqueness of the solutions we derived is highlighted by comparing the differences with earlier solutions of the model. The solutions produced may be beneficial in a number of significant investigations in medicine, as well as biology. The results demonstrate the effectiveness of the proposed techniques for determining many optical solitons of nonlinear evolution equations.https://doi.org/10.1038/s41598-024-83515-zPaul-painleve method (PPM)Extended auxiliary equation approach (AEA)Sardar sub equation approach (SSEA) |
| spellingShingle | Loubna Ouahid M. A. Abdou Jameelah S. Al Shahrani A. Mohamed Abdel-Baset Ali Akgül Murad Khan Hassani A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells Scientific Reports Paul-painleve method (PPM) Extended auxiliary equation approach (AEA) Sardar sub equation approach (SSEA) |
| title | A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells |
| title_full | A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells |
| title_fullStr | A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells |
| title_full_unstemmed | A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells |
| title_short | A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells |
| title_sort | new plentiful solutions for nanosolitons of ionic nsiw waves spread the length of microtubules in mlc living cells |
| topic | Paul-painleve method (PPM) Extended auxiliary equation approach (AEA) Sardar sub equation approach (SSEA) |
| url | https://doi.org/10.1038/s41598-024-83515-z |
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