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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2012

Compact-envelope bright solitary wave in a DNA double strand

Résumé

We study the nonlinear dynamics of a homogeneous DNA chain which is based on site-dependent finite stacking and pairing enthalpies. We introduce an extended nonlinear Schroedinger equation describing the dynamics of modulated waves in DNA model. We obtain envelope bright solitary waves with compact support as a solution. Analytical criteria of existence and stability of this solution are derived. The stability of bright compactons is confirmed by numerical simulations of the exact equations of the lattice. The impact of the fi nite stacking energy is investigated and we show that some of these compact bright solitary waves are very robust, while others decompose quickly, depending on the finite stacking energy.
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Dates et versions

hal-00732060 , version 1 (13-09-2012)

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Paul Berlin Ndjoko, Jean-Marie Bilbault, Stéphane Binczak, Timoléon Crépin Kofané. Compact-envelope bright solitary wave in a DNA double strand. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 85, pp.011916. ⟨10.1103/PhysRevE.85.011916⟩. ⟨hal-00732060⟩
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