Soliton Solution of the Peyrard–Bishop–Dauxois Model of DNA Dynamics with M-Truncated and β-Fractional Derivatives Using Kudryashov’s R Function Method
Xiaoming Wang, Ghazala Akram, Maasoomah Sadaf, Hajra Mariyam, Muhammad Abbas
Abstract
In this paper, the Peyrard–Bishop–Dauxois model of DNA dynamics is discussed along with the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov’s R method was applied to the model in order to obtain a solitary wave solution. The obtained solution is explained graphically and the fractional effects of the β and M-truncated derivatives are also shown for a better understanding of the model.
Topics & Concepts
Fractional calculusDerivative (finance)SolitonPhysicsOrder (exchange)Function (biology)MathematicsStatistical physicsApplied mathematicsQuantum mechanicsBiologyNonlinear systemFinancial economicsEconomicsEvolutionary biologyFinanceFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems