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20142025
most citedExtreme Superposition: Rogue Waves of Infinite Order and the Painlevé-III Hierarchy

101 citations · 322 across the 12 of their papers we have counts for

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math.AP2025

Infinite-order rogue waves that are small (but not small in )

Deniz Bilman, Peter D. Miller

General rogue waves of infinite order constitute a family of solutions of the focusing nonlinear Schrödinger equation that have recently been identified in a variety of asymptotic…

nlin.SI2025

Efficient computation of soliton gas primitive potentials

Cade Ballew, Deniz Bilman, Thomas Trogdon

We consider the problem of computing a class of soliton gas primitive potentials for the Korteweg--de Vries equation that arise from the accumulation of solitons on an infinite int…