Rogue wave and lump patterns in several integrable equations are asymptotically predicted by the root distributions of Umemura polynomials associated with the third Painlevé equation.
Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation
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Rogue-wave and lump patterns associated with the third Painlev\'{e} equation
Rogue wave and lump patterns in several integrable equations are asymptotically predicted by the root distributions of Umemura polynomials associated with the third Painlevé equation.