Breather-to-soliton transformation rules in the hierarchy of nonlinear Schrodinger equations
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]
|Collections||ANU Research Publications|
|Source:||Physical Review E|
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