51 citations · 397 across the 25 of their papers we have counts for
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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…
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…
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…
Quantum nonlinear lattices and coherent state vectors
Demosthenes Ellinas, Magnus Johansson, Peter L Christiansen
Quantized nonlinear lattice models are considered for two different classes, boson and fermionic ones. The quantum discrete nonlinear Schroedinger model (DNLS) is our main objectiv…
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…