title: Optical Kerr Spatiotemporal Dark-Lump Dynamics of Hydrodynamic Origin.
abstract: There is considerable fundamental and applicative interest in obtaining nondiffractive and nondispersive spatiotemporal localized wave packets propagating in optical cubic nonlinear or Kerr media. Here, we analytically predict the existence of a novel family of spatiotemporal dark lump solitary wave solutions of the (2+1)D nonlinear Schrödinger equation. Dark lumps represent multidimensional holes of light on a continuous wave background. We analytically derive the dark lumps from the hydrodynamic exact soliton solutions of the (2+1)D shallow water Kadomtsev-Petviashvili model, inheriting their complex interaction properties. This finding opens a novel path for the excitation and control of optical spatiotemporal waveforms of hydrodynamic footprint and multidimensional optical extreme wave phenomena.
authors.affiliation: INO CNR and Dipartimento di Ingegneria dell'Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy.
authors.forename: Fabio
authors.initials: F
authors.lastname: Baronio
authors.affiliation: INO CNR and Dipartimento di Ingegneria dell'Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy.
authors.forename: Stefan
authors.initials: S
authors.lastname: Wabnitz
authors.affiliation: Department of Mathematics, Ohio State University, Columbus, Ohio 43210, USA.
authors.forename: Yuji
authors.initials: Y
authors.lastname: Kodama