476 citations · 7.6k across the 125 of their papers we have counts for
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Nonlinear localized waves in a periodic medium
Andrey A. Sukhorukov, Yuri S. Kivshar
We analyze the existence and stability of nonlinear localized waves in a periodic medium described by the Kronig-Penney model with a nonlinear defect. We demonstrate the existence…
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…
Stability of Spatial Optical Solitons
Yuri S. Kivshar, Andrey A. Sukhorukov
We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in applicati…
Multistep cascading and fourth-harmonic generation
Andrey A. Sukhorukov, Tristram J. Alexander, Yuri S. Kivshar +1
We apply the concept of multistep cascading to the problem of fourth-harmonic generation in a single quadratic crystal. We analyze a new model of parametric wave mixing and describ…
Parametric localized modes in quadratic nonlinear photonic structures
Andrey A. Sukhorukov, Yuri S. Kivshar, Ole Bang +1
We analyze two-color spatially localized modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or chi-2) nonlinear interfaces embedded…
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…