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Breather-to-soliton transformation rules in the hierarchy of nonlinear Schrodinger equations

Chowdury, Atiqur; Krolikowski, Wieslaw


We study the exact first-order soliton and breather solutions of the integrable nonlinear Schrödinger equations hierarchy up to fifth order. We reveal the underlying physical mechanism which transforms a breather into a soliton. Furthermore, we show how the dynamics of the Akhmediev breathers which exist on a constant background as a result of modulation instability, is connected with solitons on a zero background. We also demonstrate that, while a first-order rogue wave can be directly...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Physical Review E
DOI: 10.1103/PhysRevE.95.062226


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