73 citations · 491 across the 32 of their papers we have counts for
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Dark solitons for an extended quintic nonlinear Schrödinger equation: Application to water waves at
F. Tsitoura, T. P. Horikis, D. J. Frantzeskakis
We study the existence, formation and dynamics of gray solitons for an extended quintic nonlinear Schrödinger (NLS) equation. The considered model finds applications to water waves…
Recent developments of Lyapunov-type inequalities for fractional differential equations
Sotiris K. Ntouyas, Bashir Ahmad, Theodoros P. Horikis
A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented. This includes Dirichlet, mixe…
Hydrodynamics and two-dimensional dark lump solitons for polariton superfluids
D. J. Frantzeskakis, T. P. Horikis, A. S. Rodrigues +3
We study a two-dimensional incoherently pumped exciton-polariton condensate described by an open-dissipative Gross-Pitaevskii equation for the polariton dynamics coupled to a rate…