Deniz Bilman
Deniz Bilman
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rogue waves of infinite order
Broader universality of rogue waves of infinite order
We show that the same special solution of the focusing nonlinear Schrödinger equation that has been shown to arise in a certain …
Deniz Bilman
,
Peter D. Miller
March, 2022
Physica D
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Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
We analyze the large-$n$ behavior of soliton solutions of the integrable focusing nonlinear Schrödinger equation with associated …
Deniz Bilman
,
Robert Buckingham
April, 2019
Journal of Nonlinear Science
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Extreme superposition: Rogue waves of infinite order and the Painlevé-III hierarchy
We study the fundamental rogue wave solutions of the focusing nonlinear Schrödinger equation in the limit of large order. Using a …
Deniz Bilman
,
Liming Ling
,
Peter D. Miller
August, 2018
Duke Mathematical Journal
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