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

Conrad Bertrand Tabi, Alidou Mohamadou, Timoléon Crépin Kofané

Research output: Contribution to journalArticle

21 Citations (Scopus)

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 Schrödinger 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.

Original languageEnglish
Pages (from-to)2476-2483
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number29
DOIs
Publication statusPublished - Jun 29 2009

Fingerprint

deoxyribonucleic acid
solitary waves
elliptic functions
nonlinear equations
bubbles
elastic properties
occurrences
modulation
geometry
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{c36616f36d5446158275217d718e7035,
title = "Modulational instability and exact soliton solutions for a twist-opening model of DNA dynamics",
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 Schr{\"o}dinger 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.",
author = "Tabi, {Conrad Bertrand} and Alidou Mohamadou and Kofan{\'e}, {Timol{\'e}on Cr{\'e}pin}",
year = "2009",
month = "6",
day = "29",
doi = "10.1016/j.physleta.2009.04.052",
language = "English",
volume = "373",
pages = "2476--2483",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "29",

}

Modulational instability and exact soliton solutions for a twist-opening model of DNA dynamics. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofané, Timoléon Crépin.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 373, No. 29, 29.06.2009, p. 2476-2483.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Modulational instability and exact soliton solutions for a twist-opening model of DNA dynamics

AU - Tabi, Conrad Bertrand

AU - Mohamadou, Alidou

AU - Kofané, Timoléon Crépin

PY - 2009/6/29

Y1 - 2009/6/29

N2 - 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 Schrödinger 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.

AB - 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 Schrödinger 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.

UR - http://www.scopus.com/inward/record.url?scp=67349217375&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349217375&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2009.04.052

DO - 10.1016/j.physleta.2009.04.052

M3 - Article

VL - 373

SP - 2476

EP - 2483

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 29

ER -