6533b833fe1ef96bd129c1f5
RESEARCH PRODUCT
Compact-envelope bright solitary wave in a DNA double strand
Jean-marie BilbaultPaul Berlin NdjokoTimoleon Crepin KofaneStéphane Binczaksubject
PhysicsModels MolecularStackingMolecular models of DNAExact differential equationDNA01 natural sciences010305 fluids & plasmasNonlinear systemsymbols.namesakeClassical mechanicsModels Chemical[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]PairingLattice (order)0103 physical sciencessymbolsNucleic Acid ConformationA-DNAComputer Simulation[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsNonlinear Schrödinger equationdescription
International audience; 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |