Modulational instability and exact soliton solutions for a twist-opening model of DNA dynamics

Journal article

Authors / Editors

Research Areas

No matching items found.

Publication Details

Author list: Tabi CB, Mohamadou A, Kofane TC

Publisher: Elsevier

Place: AMSTERDAM

Publication year: 2009

Journal: Physics Letters A (0375-9601)

Journal acronym: PHYS LETT A

Volume number: 373

Issue number: 29

Start page: 2476

End page: 2483

Number of pages: 8

ISSN: 0375-9601

eISSN: 1873-2429

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

We study the nonlinear dynamics of DNA which takes into account the twist-opening interactions due to the helicoidal molecular geometry. The small amplitude dynamics of the model is shown to be governed by a solution of a set of coupled nonlinear Schrodinger equations. We analyze the modulational instability and solitary wave solution in the case. On the basis of this system, we present the condition for modulation instability occurrence and attention is paid to the impact of the backbone elastic constant K. It is shown that high values of K extend the instability region. Through the Jacobian elliptic function method, we derive a set of exact solutions of the twist-opening model of DNA. These solutions include, jacobian periodic solution as well as kink and kink-bubble solitons. (C) 2009 Elsevier B.V. All rights reserved.

Keywords

No matching items found.

Documents

No matching items found.