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.
Rational solutions of the Boussinesq equation and applications to rogue waves
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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.