Publications

Deniz Bilman, Peter D. Miller (2024). General rogue waves of infinite order: exact properties, asymptotic behavior, and effective numerical computation. Preprint.
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Deniz Bilman, Peter D. Miller (2024). Extreme superposition: high-order fundamental rogue waves in the far-field regime. Memoirs of the American Mathematical Society.
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Deniz Bilman, Peter D. Miller (2024). RogueWaveInfiniteNLS.jl. Software package for Julia.
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Deniz Bilman, Patrik Nabelek, Thomas Trogdon (2023). Computation of large-genus solutions of the Korteweg-de Vries equation. Physica D.
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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, Liming Ling, Peter D. Miller (2020). Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy. Duke Mathematical Journal.
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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, Thomas Trogdon (2018). Benchmarking numerical methods for lattice equations with the Toda lattice. Applied Numerical Mathematics.
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