Formation and interaction of localized coherent structures for DNA dynamics
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Subtitle: Formation and interaction of localized coherent structures for DNA dynamics
Publisher: American Scientific Publishers
Publication year: 2018
Volume number: 2
Issue number: 1
Start page: 1
End page: 8
Number of pages: 8
ISSN: 1557-7910
eISSN: 1557-7929
Languages: English-United States (EN-US)
Abstract
The nonlinear dynamics of a DNA chain on the Peyrard-Bishop-Dauxois (PBD) model is investigated. It is shown that the DNA dynamics can be described by the modified Ablowitz-Ladik (MAL) equation. The Ricarti method is applied and we derive an exact solution of the MAL equation when a recurrence relation is established. Thereafter, the evolution of the found solution as well as the impact of elasticity are carried out in the PBD system with realistic values of parameters.
Keywords
COLLISIONS; DISCRETE FREQUENCY METHOD; DNA MOLECULE; SOLITONS
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