Scientific Results

Spatiotemporal optical dark X solitary waves

Year: 2016

Authors: Baronio F., Chen S., Onorato M., Trillo S., Wabnitz S., Kodama Y.

Autors Affiliation: INO CNR, Dipartimento di Ingegneria dell\’Informazione, Università di Brescia, Via Branze 38, Brescia, 25123, Italy; Department of Physics, Southeast University, Nanjing, 211189, China; Dipartimento di Fisica, Università di Torino, Via P. Giuria 1, Torino, 10125, Italy; Istituto Nazionale di Fisica Nucleare, INFN, Sezione di Torino, Torino, 10125, Italy; Dipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, Ferrara, 44122, Italy; Department of Mathematics, Ohio State University, Columbus, OH 43210, United States

Abstract: 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.

Journal/Review: OPTICS LETTERS

Volume: 41 (23)      Pages from: 5571  to: 5574

More Information: National Science Foundation, NSF. National Science Foundation, NSF, 1410267. Ministero dell’Istruzione, dell’Università e della Ricerca, MIUR, 2012BFNWZ2. National Natural Science Foundation of China, NSFC, 11474051, 11174050. National Natural Science Foundation of China, NSFC. – Italian Ministry of University and Research (MIUR) (2012BFNWZ2); National Natural Science Foundation of China (NSFC) (11174050, 11474051); National Science Foundation (NSF) (1410267).
KeyWords: Nonlinear equations; Solitons; Wave propagation, Continuous Wave; Dinger equation; Modulation instabilities; Normally dispersive medium; Self-focusing; Shallow waters; Soli-tary wave solutions; Soliton solutions, Nonlinear optics
DOI: 10.1364/OL.41.005571

Citations: 9
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