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

DOI10.3934/math.2020163zbMath1484.35362OpenAlexW3009369599MaRDI QIDQ2132985

Sizar Abid Mohammed, Onur Alp İlhan, Jalil Manafian Heris

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020163

zbMATH Keywords

topologicalsolitarythe exp-function method\(\exp (-\Omega (\eta))\)-expansion methodgeneralized (G'/G)-expansion methodimproved \(\exp (-(\Omega (\eta))\)-expansion methodimproved \(\tan (\varphi/2)\)-expansion methodperiodic and rational solutions

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model ⋮ Computational simulations; abundant optical wave solutions Atangana conformable fractional nonlinear Schrödinger equation ⋮ Quintic B-spline collocation method for the numerical solution of the Bona-Smith family of Boussinesq equation type ⋮ A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy

Cites Work

• Unnamed Item
• Unnamed Item
• New improvement of the expansion methods for solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients
• Parameter selection in a Peyrard-Bishop-Dauxois model for DNA dynamics
• \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
• Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation
• Semi-discrete breather in a helicoidal DNA double chain-model
• Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev-Petviashvili equation
• Nonlinear dynamics of damped DNA systems with long-range interactions
• Novel solitary wave solutions for the \((3+1)\)-dimensional extended Jimbo-Miwa equations
• Solitary waves in an inhomogeneous chain of α-helical proteins
• Traveling solitons in long-range oscillator chains
• Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses
• NONCLASSIC SOLITONIC STRUCTURES IN DNA's VIBRATIONAL DYNAMICS
• Nonlinear dynamics and statistical physics of DNA
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• Base pairs opening and bubble transport in damped DNA dynamics with transport memory effects
• Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule
• Helicoidal Peyrard–Bishop Model of DNA Dynamics*
• Traveling wave solutions along microtubules and in the Zhiber-Shabat equation
• Nonlinear dynamics of microtubules and series expansion unknown function method
• Nonlinear dynamics of DNA systems with inhomogeneity effects