Journal
PHYSICAL REVIEW LETTERS
Volume 116, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.116.173901
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Funding
- Italian Ministry of University and Research (MIUR) [2012BFNWZ2]
- NSF [DMS-1410267]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1410267] Funding Source: National Science Foundation
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There is considerable fundamental and applicative interest in obtaining nondiffractive and non-dispersive 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 Schrodinger 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.
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