We perform a numerical study of the initial-boundary value problem, with vanishing
boundary conditions, of a driven nonlinear Schrödinger equation (NLS) with linear damping …

We study a spherical, self‐gravitating fluid model, which finds applications in cosmic
structure formation. We argue that since the system features nonlinearity and gravity …

We discuss the finite-time collapse, also referred as blow-up, of the solutions of a discrete
nonlinear Schrödinger (DNLS) equation incorporating linear and nonlinear gain and loss …

We show by direct numerical simulations that spatiotemporally localised waveforms, strongly
reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions for …

We approximate a solution of the nonlinear Schrödinger Cauchy problem by solutions of the
linearly damped and driven nonlinear Schrödinger Cauchy problems in any open subset of …

Research interests. Nonlinear waves and solitons (existence, formation, stability, dynamics,
interactions and manipulation), with applications to various physical contexts. These include …

We investigate, by direct numerical simulations and for certain parametric regimes, the
dynamics of the damped and forced nonlinear Schrödinger (NLS) equation in the presence …

The non-linear (in particular the semi-linear) Schrödinger equation, very often referred to by
the acronym NLSE, is a universal model describing the evolution of complex field envelopes …

Σκοπός αυτής της εργασίας, είναι η μελέτη συστημάτων πλέγματος, που αποτελούν
θεμελιώδη μοντέλα για διάφορα μη γραμμικά φαινόμενα σε διακριτά μέσα. Τα ερωτήματα που …