66 citations · 273 across the 8 of their papers we have counts for
4 papers · 1 filter
Models for energy and charge transport and storage in biomolecules
Serge F. Mingaleev, Peter L. Christiansen, Yuri B. Gaididei +2
Two models for energy and charge transport and storage in biomolecules are considered. A model based on the discrete nonlinear Schrodinger equation with long-range dispersive inter…
Effects of long-range dispersion in nonlinear dynamics of DNA molecules
Yuri B. Gaididei, Serge F. Mingaleev, Peter L. Christiansen +2
A discrete nonlinear Schrodinger (NLS) model with long-range dispersive interactions describing the dynamical structure of DNA is proposed. Dispersive interactions of two types: th…
Effects of noise and nonlocal interactions in nonlinear dynamics of molecular systems
Peter L. Christiansen, Galina I. Gaididei, Yuri B. Gaididei +3
We show that the NLS systems with multiplicative noise, nonlinear damping and nonlocal dispersion exhibit a variety of interesting effects which may be useful for modelling the dyn…
Scale competition in nonlinear Schrodinger models
Yuri B. Gaididei, Peter L. Christiansen, Serge F. Mingaleev
Three types of nonlinear Schrodinger models with multiple length scales are considered. It is shown that the length-scale competition universally results into arising of new locali…