High Q Cavity Induced Fluxon Bunching in Inductively Coupled Josephson Junctions (2008)
Madsen, Søren, Grønbech-Jensen, Niels, Pedersen, Niels Falsig, Christiansen, Peter L.
We consider fluxon dynamics in a stack of inductively coupled long Josephson junctions connected capacitively to a common resonant cavity at one of the boundaries. We study, through theoretical and...
Rasmussen, Anders R., Sørensen, Mads P., Gaididei, Yuri B., Christiansen, Peter L.
A wave equation, that governs finite amplitude acoustic disturbances in a thermoviscous Newtonian fluid, and includes nonlinear terms up to second order, is proposed. In contrast to the model known...
Bubble generation in a twisted and bent DNA-like model (2004)
Larsen, Peter V., Christiansen, Peter L., Bang, Ole, Archilla, Juan F. R., Gaididei, Yuri B.
The DNA molecule is modeled by a parabola embedded chain with long-range interactions between twisted base pair dipoles. A mechanism for bubble generation is presented and investigated in two...
Attraction of nonlocal dark optical solitons (2003)
Nikola I. Nikolov, Dragomir Neshev, Wieslaw Królikowski, Jens Juul Rasmussen, Peter L. Christiansen
We study the formation and interaction of spatial dark optical solitons in materials with a nonlocal nonlinear response. We show that unlike in local materials, where dark solitons typically repel,...
Nonlinearity-induced conformational instability and dynamics of biopolymers (2001)
Mingaleev, Serge F., Gaididei, Yuri B., Christiansen, Peter L., Kivshar, Yuri S.
We propose a simple phenomenological model for describing the conformational dynamics of biopolymers via the nonlinearity-induced buckling and collapse (i.e. coiling up) instabilities. Taking into...
Multi-component structure of nonlinear excitations in systems with length-scale competition (2000)
Christiansen, Peter L., Gaididei, Yuri B., Mertens, Franz G., Mingaleev, Serge F.
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 in such systems...
Multi-soliton energy transport in anharmonic lattices (2000)
Ostrovskaya, Elena A., Mingaleev, Serge F., Kivshar, Yuri S., Gaididei, Yuri B., Christiansen, Peter L.
We demonstrate the existence of dynamically stable multihump solitary waves in polaron-type models describing interaction of envelope and lattice excitations. In comparison with the earlier theory of...
Nonlinearity and disorder: Classification and stability of nonlinear impurity modes (2000)
Sukhorukov, Andrey A., Kivshar, Yuri S., Bang, Ole, Rasmussen, Jens J., Christiansen, Peter L.
We study the effects produced by competition of two physical mechanisms of energy localization in inhomogeneous nonlinear systems. As an example, we analyze spatially localized modes supported by a...
Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators (2000)
Christiansen, Peter L., Gaididei, Yuri B., Mingaleev, Serge F.
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 nonlinear...
Multi-component optical solitary waves (2000)
Kivshar, Yuri S., Sukhorukov, Andrey A., Ostrovskaya, Elena A., Alexander, Tristram J., Bang, Ole, Saltiel, Solomon M., ...
We discuss several novel types of multi-component (temporal and spatial) envelope solitary waves that appear in fiber and waveguide nonlinear optics. In particular, we describe multi-channel solitary...
Quantum nonlinear lattices and coherent state vectors (2000)
Ellinas, Demosthenes, Johansson, Magnus, Christiansen, Peter L
Quantized nonlinear lattice models are considered for two different classes, boson and fermionic ones. The quantum discrete nonlinear Schroedinger model (DNLS) is our main objective, but its so...
Quasiperiodic Envelope Solitons (1999)
Clausen, Carl Balslev, Kivshar, Yuri S., Bang, Ole, Christiansen, Peter L.
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 physics, the...
Effects of noise and nonlocal interactions in nonlinear dynamics of molecular systems (1999)
Christiansen, Peter L., Gaididei, Galina I., Gaididei, Yuri B., Johansson, Magnus, Mingaleev, Serge F., Rasmussen, Kim O.
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 dynamical behavior of...
Effects of long-range dispersion in nonlinear dynamics of DNA molecules (1999)
Gaididei, Yuri B., Mingaleev, Serge F., Christiansen, Peter L., Johansson, Magnus, Rasmussen, Kim O.
A discrete nonlinear Schrodinger (NLS) model with long-range dispersive interactions describing the dynamical structure of DNA is proposed. Dispersive interactions of two types: the power dependence...
Models for energy and charge transport and storage in biomolecules (1999)
Mingaleev, Serge F., Christiansen, Peter L., Gaididei, Yuri B., Johansson, Magnus, Rasmussen, Kim O.
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 interactions (LRI's)...
Scale competition in nonlinear Schrodinger models (1999)
Gaididei, Yuri B., Christiansen, Peter L., Mingaleev, Serge F.
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 localized stationary...
Christiansen, Peter L, Parmentier, Robert D
"Papers from the MIDIT Workshop on Structure, coherence and chaos in Dynamical Systems, held at the Technical University of Denmark, Aug. 12-16, 1986"