### 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 language | English |
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Pages (from-to) | 2476-2483 |

Number of pages | 8 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 373 |

Issue number | 29 |

DOIs | |

Publication status | Published - Jun 29 2009 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*373*(29), 2476-2483. https://doi.org/10.1016/j.physleta.2009.04.052

}

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 373, no. 29, pp. 2476-2483. https://doi.org/10.1016/j.physleta.2009.04.052

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

Research output: Contribution to journal › Article

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

AN - SCOPUS:67349217375

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 -