Soliton excitation in the DNA double helix

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

Research output: Contribution to journalArticle

24 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 languageEnglish
Article number045002
JournalPhysica Scripta
Volume77
Issue number4
DOIs
Publication statusPublished - Apr 1 2008

Fingerprint

Helix
helices
Solitons
deoxyribonucleic acid
Excitation
solitary waves
Jacobian Elliptic Function
elliptic functions
Fourier series
Stability of Solutions
Discrete Equations
Bubble
Nonlinear Dynamics
nonlinear equations
excitation
Periodic Solution
Nonlinear Equations
bubbles
Exact Solution
Model

All Science Journal Classification (ASJC) codes

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

Cite this

Tabi, Conrad B. ; Mohamadou, Alidou ; Kofané, Timoléon C. / Soliton excitation in the DNA double helix. In: Physica Scripta. 2008 ; Vol. 77, No. 4.
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Soliton excitation in the DNA double helix. / Tabi, Conrad B.; Mohamadou, Alidou; Kofané, Timoléon C.

In: Physica Scripta, Vol. 77, No. 4, 045002, 01.04.2008.

Research output: Contribution to journalArticle

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