51 citations · 397 across the 25 of their papers we have counts for
6 papers · 1 filter
Quasiperiodic Envelope Solitons
Carl Balslev Clausen, Yuri S. Kivshar, Ole Bang +1
We analyse nonlinear wave propagation and cascaded self-focusing due to second-harmonic generation in Fibbonacci optical superlattices and introduce a novel concept of nonlinear ph…
Curvature-induced symmetry breaking in nonlinear Schrodinger models
Yu. B. Gaididei, S. F. Mingaleev, P. L. Christiansen
We consider a curved chain of nonlinear oscillators and show that the interplay of curvature and nonlinearity leads to a symmetry breaking when an asymmetric stationary state becom…
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…