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EnglishWe introduce spatiotemporal optical dark X solitary waves of the (2 + 1)D hyperbolic nonlinear Schrödinger equation (NLSE), which rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are derived by exploiting the connection between the NLSE and a well-known equation of hydrodynamics, namely the type II Kadomtsev-Petviashvili (KP-II) equation. As a result, families of shallow water X soliton solutions of the KP-II equation are mapped into optical dark X solitary wave solutions of the NLSE. Numerical simulations show that optical dark X solitary waves may propagate for long distances (tens of nonlinear lengths) before they eventually break up, owing to the modulation instability of the continuous wave background. This finding opens a novel path for the excitation and control of X solitary waves in nonlinear optics.
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| Data di pubblicazione: | 2016 | |
| Titolo: | Spatiotemporal optical dark X solitary waves | |
| Autori: | Baronio, Fabio; Chen, Shihua; Onorato, Miguel; Trillo, Stefano; Wabnitz, Stefan; Kodama, Yuji | |
| Rivista: | OPTICS LETTERS | |
| Parole Chiave: | Atomic and Molecular Physics, and Optics; solitary waves; | |
| Abstract in inglese: | We introduce spatiotemporal optical dark X solitary waves of the (2 + 1)D hyperbolic nonlinear Schrödinger equation (NLSE), which rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are derived by exploiting the connection between the NLSE and a well-known equation of hydrodynamics, namely the type II Kadomtsev-Petviashvili (KP-II) equation. As a result, families of shallow water X soliton solutions of the KP-II equation are mapped into optical dark X solitary wave solutions of the NLSE. Numerical simulations show that optical dark X solitary waves may propagate for long distances (tens of nonlinear lengths) before they eventually break up, owing to the modulation instability of the continuous wave background. This finding opens a novel path for the excitation and control of X solitary waves in nonlinear optics. | |
| Digital Object Identifier (DOI): | 10.1364/OL.41.005571 | |
| Handle: | http://hdl.handle.net/11392/2364998 | |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
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