A nonlinear model describing DNA dynamics, called helicoidal Peyrard–Bishop model, is
described. It is shown that the model can explain a local opening of a DNA helix during …

The study and the investigation of structural and dynamical properties of complex systems
have attracted considerable interest among scientists in general and physicists and …

In this paper, the optical breather and its molecular form in optical fiber systems are
considered as the main research object. Mode conversions and interactions between …

Base pair opening in an inhomogeneous, DNA double helical molecular chain with flexible
strands is investigated by studying its internal dynamics. For the study, a generalized model …

We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard–Bishop
model. We look for traveling wave solutions and show that a continuum approximation …

In this work, we explore the dynamics of molecules in torsionally stressed DNA subjected to
periodic external forces, specifically microwave radiation. Our approach involves …

One of the most important quests in modern science is the ability to mimic DNA replication,
this process provides opportunities to vastly improve current technology from data storage to …

Starting from the Jaulent–Miodek spectral problem, we derive the associated hierarchy of
nonlinear evolution equations in this paper. It is shown that this hierarchy is completely …

A collective coordinate variable for adding a space dependent potential to the sine-Gordon
model is presented. Interaction of solitons with a delta function potential barrier and also a …

The impact of viscosity on DNA dynamics is studied both analytically and numerically. It is
assumed that the viscosity exists at the segments where DNA molecule is surrounded by …