Solutions of the vector nonlinear Schrödinger equations: Evidence for deterministic rogue waves

Year: 2012

Authors: Baronio F., Degasperis A., Conforti M., Wabnitz S.

Autors Affiliation: CNISM, Dipartimento di Ingegneria dell\’Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy; INFN, Sapienza Università di Roma, P.le A. Moro 2, 00185 Rome, Italy

Abstract: We construct and discuss a semirational, multiparametric vector solution of coupled nonlinear Schrödinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright- and dark-rogue solutions, and novel vector unusual freak waves. The vector rogue waves could be of great interest in a variety of complex systems, from optics and fluid dynamics to Bose-Einstein condensates and finance.


Volume: 109 (4)      Pages from: 044102  to: 044102

More Information: The present research was supported in Brescia by the Italian Ministry of University and Research (MIUR) (Project No. 2009P3K72Z), by CARIPLO Foundation (Project No. 2011-0395), and in Rome by INFN (Project No. RM41).
KeyWords: Bose-Einstein condensates; Dinger equation; Freak wave; Manakov systems; Rogue waves, Bose-Einstein condensation; Nonlinear equations, Vectors
DOI: 10.1103/PhysRevLett.109.044102