Research Article
Stability Analysis of the Jacobian Elliptic Solutions for the Twisted Peyrard-Bishop-Dauxois Model with Solvent Interaction
Toko D1*, Mohamadou A2,3, Dafounansou O2, Tabi CB4 and Kofane TC1
1Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon
2Nonlinear and Complex Systems Group, Faculty of Science, University of Douala, Douala, Cameroon
3The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, I-34014, Trieste, Italy
4Biophysics Laboratory, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon
- *Corresponding Author:
- Toko D
Laboratory of Mechanics, Department of Physics
Faculty of Science, University of Yaounde I
PO Box 812, Yaounde, Cameroon
Tel: +221776359163
Fax: +221338246318
E-mail: [email protected]
Received Date: May 19, 2017 Accepted Date: May 26, 2017 Published Date: June 01, 2017
Citation: Toko D, Mohamadou A, Dafounansou O, Tabi CB, Kofane TC (2017) Stability Analysis of the Jacobian Elliptic Solutions for the Twisted Peyrard- Bishop-Dauxois Model with Solvent Interaction. J Phys Chem Biophys 7: 248. doi: 10.4172/2161-0398.1000248
Copyright: © 2017 Toko D, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
We consider a twisted Peyrard-Bishop-Dauxois (PBD) model and construct the exact analytical solutions, which can describe the propagation of solitary waves by invoking a discrete Jacobian elliptic function method. These solutions include the Jacobian periodic solution as well as bubble solitons. Through the Fourier series approach, we have found that the DNA dynamics is governed by a modified discrete nonlinear Schrodinger (MDNLS) equation. A detailed analysis of the role of the twisted angle in the process of bio energy localization is presented in the form of coherent localized breather modes in a PBD model. A linear stability analysis is performed and we obtain that the stability of the solutions also depends on the twisted angle.
