Soliton excitation in the DNA double helix

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Author list: Tabi CB, Mohamadou A, Kofane TC

Publisher: IOP Publishing

Place: BRISTOL

Publication year: 2008

Journal: Physica Scripta (0031-8949)

Journal acronym: PHYS SCRIPTA

Volume number: 77

Issue number: 4

Number of pages: 7

ISSN: 0031-8949

eISSN: 1402-4896

Languages: English-Great Britain (EN-GB)

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Abstract

We study the nonlinear dynamics of the DNA double-helical chain using the Peyrard-Bishop-Dauxois (PBD) model. By using the Fourier series approach, we have found that the DNA dynamics in this case is governed by the modified discrete nonlinear Schrodinger (MDNLS) equation. Through the Jacobian elliptic function method, we investigate a set of exact solutions of this model. These solutions include the Jacobian periodic solution as well as bubble solitons. The stability of these solutions is also studied.

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