Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2012-04-06
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
We construct and discuss a semi-rational, multi-parametric vector solution of coupled nonlinear Schr\"odinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright-dark-rogue solutions, and novel vector unusual freak waves. The vector freak (or rogue) waves could be of great interest in a variety of complex systems, from optics to Bose-Einstein condensates and finance.
Baronio Fabio
Conforti Matteo
Degasperis Antonio
Wabnitz Stefan
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