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 …

Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations

C Park, RI Nuruddeen, KK Ali, L Muhammad… - Advances in Difference …, 2020 - Springer
This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …

Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome …

KK Ali, MS Osman, HM Baskonus… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4+ T‐
cells conformable fractional mathematical model. This model is studied analytically by …

Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations

MT Islam, MA Akter, JF Gómez-Aguilar… - Optical and Quantum …, 2022 - Springer
Nonlinear models of fractional order have elaborately been taken place in the research field
for their importance bearing the significant roles to depict the interior mechanisms of …

Solitons in an inhomogeneous Murnaghan's rod

C Cattani, TA Sulaiman, HM Baskonus… - The European Physical …, 2018 - Springer
In this paper, we construct a family of wave solutions to the doubly dispersive equation, such
as topological, non-topological, singular, compound topological-non-topological bell-type …

[HTML][HTML] 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 …

[HTML][HTML] Assorted soliton structures of solutions for fractional nonlinear Schrodinger types evolution equations

MT Islam, MA Akbar, JF Gómez-Aguilar… - Journal of Ocean …, 2022 - Elsevier
Fractional order nonlinear evolution equations have emerged in recent times as being very
important model for depicting the interior behavior of nonlinear phenomena that exist in the …

[HTML][HTML] Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation

A Saha, KK Ali, H Rezazadeh, Y Ghatani - Optical and Quantum …, 2021 - Springer
Analytical forms of optical pulses for the hyperbolic nonlinear Schrödinger equation are
studied by the extended tanh expansion method and another new method successfully …

[PDF][PDF] Construct extended cubic B-splines in n-dimensional for solving n-dimensional partial differential equations

KR Raslan, KK Ali, HMY Al-Bayatti - Appl Math Inform Sci, 2021 - researchgate.net
In this work, we present a solution to a major problem that most researchers meet, which is
the solution of differential equations of different dimensional by presenting a new structure to …

New analytical solutions of fractional symmetric regularized-long-wave equation

M Senol - Revista mexicana de física, 2020 - scielo.org.mx
In this study, the new extended direct algebraic method (NEDAM) is successfully
implemented to acquire new exact wave solution sets for the symmetric regularized-long …