Wave propagation of nonlinear modes and formation of bubble in a two-component helicoidal lattice

C. B. Tabi, A. Mohamadou, T. C. Kofané

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Through the multiple scale expansion, we show that the dynamics of modulated waves in a two-component helicoidal one-dimensional model is governed by the nonlinear Schrödinger (NLS) equation. We study the occurrence of patterns formation in such a system. The impact of the helicoidal coupling is also studied which reveals that high values of the helicoidal coupling constant contribute to regulate information and charge transport throughout the two-chain model. This is made possible due to the superposition of optical and acoustic modes. In addition, the model is used to investigate internal dynamics of DNA. It is shown that the opening of the double helix of the DNA itself is controlled by the resonance mode, where the unzipping of the double helix has been illustrated by numerical simulations. Furthermore, the shape of the eyelike shape previously observed in experiments of thermal denaturation of DNA is numerically obtained.

Original languageEnglish
Pages (from-to)307-316
Number of pages10
JournalEuropean Physical Journal D
Volume50
Issue number3
DOIs
Publication statusPublished - Dec 1 2008

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wave propagation
bubbles
deoxyribonucleic acid
helices
biopolymer denaturation
nonlinear equations
occurrences
expansion
acoustics
simulation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Wave propagation of nonlinear modes and formation of bubble in a two-component helicoidal lattice",
abstract = "Through the multiple scale expansion, we show that the dynamics of modulated waves in a two-component helicoidal one-dimensional model is governed by the nonlinear Schr{\"o}dinger (NLS) equation. We study the occurrence of patterns formation in such a system. The impact of the helicoidal coupling is also studied which reveals that high values of the helicoidal coupling constant contribute to regulate information and charge transport throughout the two-chain model. This is made possible due to the superposition of optical and acoustic modes. In addition, the model is used to investigate internal dynamics of DNA. It is shown that the opening of the double helix of the DNA itself is controlled by the resonance mode, where the unzipping of the double helix has been illustrated by numerical simulations. Furthermore, the shape of the eyelike shape previously observed in experiments of thermal denaturation of DNA is numerically obtained.",
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Wave propagation of nonlinear modes and formation of bubble in a two-component helicoidal lattice. / Tabi, C. B.; Mohamadou, A.; Kofané, T. C.

In: European Physical Journal D, Vol. 50, No. 3, 01.12.2008, p. 307-316.

Research output: Contribution to journalArticle

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AU - Tabi, C. B.

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AU - Kofané, T. C.

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AB - Through the multiple scale expansion, we show that the dynamics of modulated waves in a two-component helicoidal one-dimensional model is governed by the nonlinear Schrödinger (NLS) equation. We study the occurrence of patterns formation in such a system. The impact of the helicoidal coupling is also studied which reveals that high values of the helicoidal coupling constant contribute to regulate information and charge transport throughout the two-chain model. This is made possible due to the superposition of optical and acoustic modes. In addition, the model is used to investigate internal dynamics of DNA. It is shown that the opening of the double helix of the DNA itself is controlled by the resonance mode, where the unzipping of the double helix has been illustrated by numerical simulations. Furthermore, the shape of the eyelike shape previously observed in experiments of thermal denaturation of DNA is numerically obtained.

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