Nonlinear mechanics of DNA doule strand: existence of the compact-envelope bright solitary wave.
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 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.
LE2I Laboratory , University of Burgundy, UMR CNRS 5158, B.P. 47870, 21078 Dijon Cedex, France.
Paul Berlin
PB
Ndjoko
Jean-Marie
JM
Bilbault
Stéphane
S
Binczak
Timoléon Crépin
TC
Kofané
D004247:DNA / Q000737:chemistry*; D008958:Models, Molecular; D017711:Nonlinear Dynamics; D009690:Nucleic Acid Conformation
D004247:DNA