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  • Title: Compact-envelope bright solitary wave in a DNA double strand.
    Author: Ndjoko PB, Bilbault JM, Binczak S, Kofane TC.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2012 Jan; 85(1 Pt 1):011916. PubMed ID: 22400600.
    Abstract:
    We study the nonlinear dynamics of a homogeneous DNA chain that is based on site-dependent finite stacking and pairing enthalpies. We introduce an extended nonlinear Schrödinger equation describing the dynamics of modulated wave in DNA model. We obtain envelope bright solitary waves with compact support as a solution. Analytical criteria of existence 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 finite stacking energy is investigated, and we show that some of these compact bright solitary waves are robust, while others decompose very quickly depending on the finite stacking parameters.
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