Soliton excitation in the DNA double helix

Conrad B. Tabi; Alidou Mohamadou; Timoléon C. Kofané

doi:10.1088/0031-8949/77/4/045002

Soliton excitation in the DNA double helix

Conrad B. Tabi, Alidou Mohamadou, Timoléon C. Kofané

Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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 Schrödinger (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.

Original language	English
Article number	045002
Journal	Physica Scripta
Volume	77
Issue number	4
DOIs	https://doi.org/10.1088/0031-8949/77/4/045002
Publication status	Published - Apr 1 2008

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1088/0031-8949/77/4/045002

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AB - 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 Schrödinger (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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Soliton excitation in the DNA double helix

Abstract

All Science Journal Classification (ASJC) codes

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