51 citations · 397 across the 25 of their papers we have counts for
4 papers · 1 filter
Nonlinearity-induced conformational instability and dynamics of biopolymers
Serge F. Mingaleev, Yuri B. Gaididei, Peter L. Christiansen +1
We propose a simple phenomenological model for describing the conformational dynamics of biopolymers via the nonlinearity-induced buckling and collapse (i.e. coiling up) instabilit…
Multi-component structure of nonlinear excitations in systems with length-scale competition
Peter L. Christiansen, Yuri B. Gaididei, Franz G. Mertens +1
We investigate the properties of nonlinear excitations in different types of soliton bearing systems with long-range dispersive interaction. We show that length-scale competition i…
Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators
Peter L. Christiansen, Yuri B. Gaididei, Serge F. Mingaleev
We consider a curved chain of nonlinear oscillators and show that the interplay of curvature and nonlinearity leads to a number of qualitative effects. In particular, the energy of…
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…