389 citations · 1.8k across the 18 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…
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…