alexa Stability Analysis of the Jacobian Elliptic Solutions f
ISSN: 2161-0398

Journal of Physical Chemistry & Biophysics
Open Access

Like us on:
OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

Open Access Journals gaining more Readers and Citations

700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ Readers

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

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.



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.


Share This Page

Additional Info

Loading Please wait..
Peer Reviewed Journals
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

Agri, Food, Aqua and Veterinary Science Journals

Dr. Krish

[email protected]

1-702-714-7001 Extn: 9040

Clinical and Biochemistry Journals

Datta A

[email protected]

1-702-714-7001Extn: 9037

Business & Management Journals


[email protected]

1-702-714-7001Extn: 9042

Chemical Engineering and Chemistry Journals

Gabriel Shaw

[email protected]

1-702-714-7001 Extn: 9040

Earth & Environmental Sciences

Katie Wilson

[email protected]

1-702-714-7001Extn: 9042

Engineering Journals

James Franklin

[email protected]

1-702-714-7001Extn: 9042

General Science and Health care Journals

Andrea Jason

[email protected]

1-702-714-7001Extn: 9043

Genetics and Molecular Biology Journals

Anna Melissa

[email protected]

1-702-714-7001 Extn: 9006

Immunology & Microbiology Journals

David Gorantl

[email protected]

1-702-714-7001Extn: 9014

Informatics Journals

Stephanie Skinner

[email protected]

1-702-714-7001Extn: 9039

Material Sciences Journals

Rachle Green

[email protected]

1-702-714-7001Extn: 9039

Mathematics and Physics Journals

Jim Willison

[email protected]

1-702-714-7001 Extn: 9042

Medical Journals

Nimmi Anna

[email protected]

1-702-714-7001 Extn: 9038

Neuroscience & Psychology Journals

Nathan T

[email protected]

1-702-714-7001Extn: 9041

Pharmaceutical Sciences Journals

John Behannon

[email protected]

1-702-714-7001Extn: 9007

Social & Political Science Journals

Steve Harry

[email protected]

1-702-714-7001 Extn: 9042

© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version