112 citations · 161 across the 3 of their papers we have counts for
3 papers
Higher-order nonlinear modes and bifurcation phenomena due to degenerate parametric four-wave mixing
Kazimir Y. Kolossovski, Alexander V. Buryak, Victoria V. Steblina +2
We demonstrate that weak parametric interaction of a fundamental beam with its third harmonic field in Kerr media gives rise to a rich variety of families of non-fundamental (multi…
Long-range interaction and nonlinear localized modes in photonic crystal waveguides
Serge F. Mingaleev, Yuri S. Kivshar, Rowland A. Sammut
We develop the theory of nonlinear localised modes (intrinsic localised modes or discrete breathers) in two-dimensional (2D) photonic crystal waveguides. We consider different geom…
Optical Vortex Solitons in Parametric Wave Mixing
Tristram J. Alexander, Yuri S. Kivshar, Alexander V. Buryak +1
We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised wav…