Publications

Deniz Bilman, Patrik Nabelek, Thomas Trogdon (2022). Computation of large-genus solutions of the Korteweg-de Vries equation. submitted for publication.

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Deniz Bilman, Peter D. Miller (2022). Extreme superposition: High-order fundamental rogue waves in the far-field regime. in press, Memoirs AMS.

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Deniz Bilman, Peter D. Miller (2022). Broader universality of rogue waves of infinite order. Physica D.

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Deniz Bilman, Robert Buckingham, Deng-Shan Wang (2021). Far-field asymptotics for multiple-pole solitons in the large-order limit. Journal of Differential Equations.

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Deniz Bilman, Thomas Trogdon (2020). On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data. Nonlinearity.

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Deniz Bilman, Robert Buckingham (2019). Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Journal of Nonlinear Science.

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Deniz Bilman, Liming Ling, Peter D. Miller (2018). Extreme superposition: Rogue waves of infinite order and the Painlevé-III hierarchy. Duke Mathematical Journal.

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Deniz Bilman, Thomas Trogdon (2018). Benchmarking numerical methods for lattice equations with the Toda lattice. Applied Numerical Mathematics.

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Deniz Bilman, Peter D. Miller (2017). A robust inverse scattering transform for the focusing nonlinear Schrödinger equation. Communications on Pure and Applied Mathematics.

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Deniz Bilman, ‪Sotiris Konstantinou-Rizos‬ (2017). Discrete integrable systems, Darboux transformations, and Yang–Baxter maps. CRM Series in Mathematical Physics.

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Deniz Bilman, Thomas Trogdon (2017). Numerical inverse scattering for the Toda lattice. Communications in Mathematical Physics.

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Deniz Bilman, Irina Nenciu (2016). On the evolution of scattering data under perturbations of the Toda lattice. Physica D.

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