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...

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Autores principales: Vivas-Cortez, Miguel, Arshed, Saima, Sadaf, Maasoomah, Perveen, Zahida, Akram, Ghazala
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934424/
https://www.ncbi.nlm.nih.gov/pubmed/36795692
http://dx.doi.org/10.1371/journal.pone.0281318
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author Vivas-Cortez, Miguel
Arshed, Saima
Sadaf, Maasoomah
Perveen, Zahida
Akram, Ghazala
author_facet Vivas-Cortez, Miguel
Arshed, Saima
Sadaf, Maasoomah
Perveen, Zahida
Akram, Ghazala
author_sort Vivas-Cortez, Miguel
collection PubMed
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.
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spelling pubmed-99344242023-02-17 Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis Vivas-Cortez, Miguel Arshed, Saima Sadaf, Maasoomah Perveen, Zahida Akram, Ghazala PLoS One Research Article 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. Public Library of Science 2023-02-16 /pmc/articles/PMC9934424/ /pubmed/36795692 http://dx.doi.org/10.1371/journal.pone.0281318 Text en © 2023 Vivas-Cortez et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Vivas-Cortez, Miguel
Arshed, Saima
Sadaf, Maasoomah
Perveen, Zahida
Akram, Ghazala
Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934424/
https://www.ncbi.nlm.nih.gov/pubmed/36795692
http://dx.doi.org/10.1371/journal.pone.0281318
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