Deniz Bilman
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    • New paper!
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  • Publications
    • Efficient computation of soliton gas primitive potentials
    • General rogue waves of infinite order: exact properties, asymptotic behavior, and effective numerical computation
    • Extreme superposition: high-order fundamental rogue waves in the far-field regime
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    • Computation of large-genus solutions of the Korteweg-de Vries equation
    • Broader universality of rogue waves of infinite order
    • Far-field asymptotics for multiple-pole solitons in the large-order limit
    • On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data
    • Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
    • Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
    • Benchmarking numerical methods for lattice equations with the Toda lattice
    • A robust inverse scattering transform for the focusing nonlinear Schrödinger equation
    • Discrete integrable systems, Darboux transformations, and Yang–Baxter maps
    • Numerical inverse scattering for the Toda lattice
    • On the evolution of scattering data under perturbations of the Toda lattice
  • Teaching
    • Numerical Linear Algebra
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    • Ordinary Differential Equations
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    • Partial Differential Equations
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      • Lecture 17
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      • Appendix 1
  • In preparation
    • General rogue waves of infinite order: double-scaling asymptotics
    • Solitons of fractional order: interpolating between coherent structures
    • Infinite-order solutions of the modified Korteweg-de Vries equation
    • Asymptotic behavior of large-order soliton solutions of the modified Korteweg-de Vries equation
    • Far-field symptotics of large-order breathers for the sine-Gordon equation
    • Long-time development of initial data with spectral pole singularities
    • Long-time asymptotics for the Korteweg-de Vries equation
    • Contact

New paper!

May 4, 2025·
Deniz Bilman
Deniz Bilman
· 1 min read

We have just submitted our paper titled Efficient computation of soliton gas primitive potentials with Cade Ballew and Thomas Trogdon. See the publication.

Last updated on May 4, 2025
Deniz Bilman
Authors
Deniz Bilman
Assistant Professor
Special session at the IMACS Conference 2025 in Athens, GA Jan 15, 2025 →

© 2025 Deniz Bilman.

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