2000 character limit reached
Soliton on Unstable Condensate (1109.0620v2)
Published 3 Sep 2011 in nlin.SI
Abstract: 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.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run paper prompts using GPT-5.