Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model

KK Ali, C Cattani, JF Gómez-Aguilar, D Baleanu… - Chaos, Solitons & …, 2020 - Elsevier
In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA
dynamic model equation. This model is studied analytically by hyperbolic and exponential …

[HTML][HTML] Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model

A Hussain, M Usman, FD Zaman, SM Eldin - Results in Physics, 2023 - Elsevier
In this paper, we introduce the Noether approach for studying the Peyrard–Bishop (PB) DNA
dynamic model equation. The Jacobi elliptic function expansion (JEFE) method is used to …

Helicoidal Peyrard–Bishop model of DNA dynamics

S Zdravković - Journal of Nonlinear Mathematical Physics, 2011 - Taylor & Francis
A nonlinear model describing DNA dynamics, called helicoidal Peyrard–Bishop model, is
described. It is shown that the model can explain a local opening of a DNA helix during …

Soliton solutions to the DNA Peyrard–Bishop equation with beta-derivative via three distinctive approaches

A Zafar, KK Ali, M Raheel, N Jafar, KS Nisar - The European Physical …, 2020 - Springer
In this paper, we explore the DNA dynamic equation arising in the oscillator-chain named as
Peyrard–Bishop model for abundant solitary wave solutions. The aforesaid model is studied …

A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy

L Ouahid, MA Abdou, S Kumar, S Owyed… - International Journal of …, 2021 - World Scientific
In this paper, we present a work on dynamic equation of Deoxyribonucleic acid (DNA)
derived from the Peyrard–Bishop (PB) model oscillator chain for various dynamical solitary …

New optical soliton solutions via two distinctive schemes for the DNA Peyrard–Bishop equation in fractal order

L Ouahid, MA Abdou, S Owyed… - Modern Physics Letters B, 2021 - World Scientific
The deoxyribonucleic acid (DNA) dynamical equation, which emerges from the oscillator
chain known as the Peyrard–Bishop (PB) model for abundant optical soliton solutions, is …

Plenty of soliton solutions to the DNA Peyrard-Bishop equation via two distinctive strategies

L Ouahid - Physica Scripta, 2021 - iopscience.iop.org
Abstract Here, the Deoxyribo-Nucleic Acid (DNA) dynamic equation that arises from the
oscillator chain named the Peyrard-Bishop model for plenty of solitary wave solutions is …

New variety diverse solitary wave solutions to the DNA Peyrard–Bishop model

EHM Zahran, A Bekir - Modern Physics Letters B, 2023 - World Scientific
In this study, we will derive many new diverse performances for the solitary wave solutions to
the DNA Peyrard–Bishop Model with Beta-Derivative (DNAPBM) via three distinctive …

[PDF][PDF] Forming localized waves of the nonlinearity of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model

J Manafian, OA Ilhan, SA Mohammed - Aims Math, 2020 - aimspress.com
In this article, the mathematical modeling of DNA vibration dynamics has been considered
that describes the nonlinear interaction between adjacent displacements along with the …

Soliton solutions for fractional DNA Peyrard-Bishop equation via the extended-expansion method

G Akram, S Arshed, Z Imran - Physica Scripta, 2021 - iopscience.iop.org
In this article, the dynamical DNA equation comes into existence in the oscillatory chain,
categorized as the Peyrard-Bishop model. The fractional Peyrard-Bishop model has been …