Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis

Miguel Vivas-Cortez; Saima Arshed; Maasoomah Sadaf; Zahida Perveen; Ghazala Akram

doi:10.1371/journal.pone.0281318

Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis

Miguel Vivas-Cortez, Saima Arshed, Maasoomah Sadaf, Zahida Perveen, Ghazala Akram

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	e0281318
Publicación	PLoS ONE
Volumen	18
N.º	2 February
DOI	https://doi.org/10.1371/journal.pone.0281318
Estado	Publicada - feb. 2023

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© 2023 Vivas-Cortez et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis

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