51 citations · 397 across the 25 of their papers we have counts for
7 papers · 1 filter
Localization of nonlinear excitations in curved waveguides
Yu. B. Gaididei, P. L. Christiansen, P. G. Kevrekidis +2
Motivated by the example of a curved waveguide embedded in a photonic crystal, we examine the effects of geometry in a ``quantum channel'' of parabolic form. We study the linear ca…
Bubble generation in a twisted and bent DNA-like model
Peter V. Larsen, Peter L. Christiansen, Ole Bang +2
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 investig…
Energy funneling in a bent chain of Morse oscillators with long-range coupling
P. V. Larsen, P. L. Christiansen, O. Bang +2
A bent chain of coupled Morse oscillators with long-range dispersive interaction is considered. Moving localized excitations may be trapped in the bending region. Thus chain geomet…
Kink propagation in a two-dimensional curved Josephson junction
C. Gorria, Yu. B. Gaididei, M. P. Soerensen +2
We consider the propagation of sine-Gordon kinks in a planar curved strip as a model of nonlinear wave propagation in curved wave guides. The homogeneous Neumann transverse boundar…
Multi-soliton energy transport in anharmonic lattices
Elena A. Ostrovskaya, Serge F. Mingaleev, Yuri S. Kivshar +2
We demonstrate the existence of dynamically stable multihump solitary waves in polaron-type models describing interaction of envelope and lattice excitations. In comparison with th…
Nonlinearity and disorder: Classification and stability of nonlinear impurity modes
Andrey A. Sukhorukov, Yuri S. Kivshar, Ole Bang +2
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 mod…
Multi-component optical solitary waves
Yuri S. Kivshar, Andrey A. Sukhorukov, Elena A. Ostrovskaya +5
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 mul…