171 citations · 435 across the 11 of their papers we have counts for
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Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence
Dmitry V. Skryabin, William J. Firth
We investigate stability and dynamics of higher-order solitary waves in quadratic media, which have a central peak and one or more surrounding rings. We show existence of two quali…
Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations
Dmitry V. Skryabin, William J. Firth
We present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schrödinger equations. Varying t…
Modulational instability of solitary waves in non-degenerate three-wave mixing: The role of phase symmetries
Dmitry V. Skryabin, William J. Firth
We show how the analytical approach of Zakharov and Rubenchik [Sov. Phys. JETP {\bf 38}, 494 (1974)] to modulational instability (MI) of solitary waves in the nonlinear Schröedinge…
Stability of multi-hump optical solitons
Elena A. Ostrovskaya, Yuri S. Kivshar, Dmitry V. Skryabin +1
We demonstrate that, in contrast with what was previously believed, multi-hump solitary waves can be stable. By means of linear stability analysis and numerical simulations, we inv…