Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis
This article deals with studying the dynamical behavior of the DNA model proposed by Peyrard and Bishop. The proposed model is investigated using the unified method (UM). Unified method successfully extracts solutions in the form of polynomial and rational functions. The solitary wave solutions and...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2023-01-01
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| Series: | PLoS ONE |
| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934424/?tool=EBI |
| _version_ | 1828012296733982720 |
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| author | Miguel Vivas-Cortez Saima Arshed Maasoomah Sadaf Zahida Perveen Ghazala Akram |
| author_facet | Miguel Vivas-Cortez Saima Arshed Maasoomah Sadaf Zahida Perveen Ghazala Akram |
| author_sort | Miguel Vivas-Cortez |
| collection | DOAJ |
| description | This article deals with studying the dynamical behavior of the DNA model proposed by Peyrard and Bishop. The proposed model is investigated using the unified method (UM). Unified method successfully extracts solutions in the form of polynomial and rational functions. The solitary wave solutions and soliton solutions are constructed. An investigation of modulation instability is also presented in this paper. 3D and 2D plots are presented to exhibit the physical behavior of some of the obtained solutions. |
| first_indexed | 2024-04-10T09:31:07Z |
| format | Article |
| id | doaj.art-9282dba63dc542a398e56625c74bcb3c |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-10T09:31:07Z |
| publishDate | 2023-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-9282dba63dc542a398e56625c74bcb3c2023-02-19T05:31:27ZengPublic Library of Science (PLoS)PLoS ONE1932-62032023-01-01182Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysisMiguel Vivas-CortezSaima ArshedMaasoomah SadafZahida PerveenGhazala AkramThis article deals with studying the dynamical behavior of the DNA model proposed by Peyrard and Bishop. The proposed model is investigated using the unified method (UM). Unified method successfully extracts solutions in the form of polynomial and rational functions. The solitary wave solutions and soliton solutions are constructed. An investigation of modulation instability is also presented in this paper. 3D and 2D plots are presented to exhibit the physical behavior of some of the obtained solutions.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934424/?tool=EBI |
| spellingShingle | Miguel Vivas-Cortez Saima Arshed Maasoomah Sadaf Zahida Perveen Ghazala Akram Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis PLoS ONE |
| title | Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis |
| title_full | Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis |
| title_fullStr | Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis |
| title_full_unstemmed | Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis |
| title_short | Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis |
| title_sort | numerical simulations of the soliton dynamics for a nonlinear biological model modulation instability analysis |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934424/?tool=EBI |
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