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

AIMS Mathematics

Jalil Manafian¹  Onur Alp Ilhan²  Sizar Abid Mohammed³ 

[1] 1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;2 Department of Mathematics, Faculty of Education, Erciyes University, 38039-Melikgazi-Kayseri, Turkey;3 Department of Mathematics, College of Basic Education, University of Duhok, Zakho Street 38, 1006 AJ Duhok, Iraq;

关键词: improved tan(φ/2)-expansion method;    exp(-ω(η))-expansion method;    improved exp(-ω(η))-expansion method;    generalized (g’/g)-expansion method;    the exp-function method;    solitary;    topological;    periodic and rational solutions;   

DOI  :  10.3934/math.2020163

来源: DOAJ

【 摘 要 】

In this article, the mathematical modeling of DNA vibration dynamics has been considered that describes the nonlinear interaction between adjacent displacements along with the Hydrogen bonds with utilizing five techniques, namely, the improved tan(φ/2)-expansion method (ITEM), the exp(-Ω(η))-expansion method (EEM), the improved exp(-Ω(η))-expansion method (IEEM), the generalized (G’/G)-expansion method (GGM), and the exp-function method (EFM) to get the new exact solutions. This model of the equation is analyzed using the aforementioned schemes. The different kinds of traveling wave solutions: solitary, topological, periodic and rational, are fall out as a by-product of these schemes. Finally, the existence of the solutions for the constraint conditions is also shown.

【 授权许可】

Unknown