spectral singularities

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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Extreme superposition: Rogue waves of infinite order and the Painlevé-III hierarchy
A robust inverse scattering transform for the focusing nonlinear Schrödinger equation
We propose a modification of the standard inverse scattering transform for the focusing nonlinear Schrödinger equation (also other …
Deniz Bilman, Peter D. Miller
October, 2017 Communications on Pure and Applied Mathematics
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A robust inverse scattering transform for the focusing nonlinear Schrödinger equation