Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA-Reference-Cited by-同舟云学术

Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA

Published:2022-05-11 Issue: Volume:2022 Page:1-17
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Hassan Taher S.¹²^ORCID,Elmandouh A.A.²^ORCID,Attiya Adel A.¹²^ORCID,Khedr Ahmed Y.³⁴

Affiliation:

1. Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Department of Computer Science, University of Ha’il, Ha’il, Saudi Arabia

4. Systems and Computer Engineering Department, Al-Azhar University, Cairo, Egypt

Abstract

This work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. These solutions are sorted into solitary, periodic, kink (antikink), and singular solutions. Moreover, a part of them is illustrated graphically. Based on Hamilton concepts, we study the bifurcation and phase portrait for the Hamilton system corresponding to the model under consideration.

Funder

University of Hail

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/7188118.pdf

Reference57 articles.

1. Modelling DNA at the mesoscale: a challenge for nonlinear science?

2. Molecular Structure of Nucleic Acids: A Structure for Deoxyribose Nucleic Acid

3. Solitons in Molecular Systems