Soliton on Unstable Condensate

Details Soliton on Unstable Condensate Soliton on Unstable Condensate

2011-09-03

arxiv.org/abs/1109.0620v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

4 pages, 3 figures

Scientific paper

We construct new exact solutions of the focusing Nonlinear Schr\"{o}dinger equation (NLSE). This is a soliton propagating on an unstable condensate. The Kuznetsov and Akhmediev solitons as well as the Peregrine instanton are particular cases of this new solution. We discuss applications of this new solution to the description of freak (rogue) waves in the ocean and in optical fibers.

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