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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Modulational instability and exact soliton solutions for a twist-opening model of DNA dynamics
Physics Letters, Section A: General, Atomic and Solid State Physics, Volume 373, No. 29, Year 2009
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Description
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. © 2009 Elsevier B.V. All rights reserved.
Authors & Co-Authors
Tabi, Conrad Bertrand
Cameroon, Yaounde
Faculty of Medicine and Biomedical Sciences
Mohamadou, Alidou
Cameroon, Yaounde
Faculty of Medicine and Biomedical Sciences
Cameroon, Douala
Faculty of Sciences
Kofane, T. C.
Cameroon, Yaounde
Faculty of Medicine and Biomedical Sciences
Statistics
Citations: 25
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.physleta.2009.04.052
ISSN:
03759601
Research Areas
Genetics And Genomics