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.
All Science Journal Classification (ASJC) codes
- Biomedical Engineering