University of Cincinnati
|Assistant Professor
US
→
Deniz Bilman
Work
University of Michigan
|Postdoctoral Assistant Professor
US
→
Publications
Infinite-order rogue waves that are small (but not small in $L^2$)
preprint
bilman/RogueWaveInfiniteNLS.jl: v0.1.4
Zenodo
software
General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computation
preprint
Computation of large-genus solutions of the Korteweg–de Vries equation
Physica D: Nonlinear Phenomena
journal-article
Broader universality of rogue waves of infinite order
Physica D: Nonlinear Phenomena
journal-article
Far-field asymptotics for multiple-pole solitons in the large-order limit
Journal of Differential Equations
journal-article
On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data
Nonlinearity
journal-article
Extreme superposition: Rogue waves of infinite order and the Painlevé-III hierarchy
Duke Mathematical Journal
journal-article
Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation
Journal of Nonlinear Science
journal-article
A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation
Communications on Pure and Applied Mathematics
journal-article
Benchmarking numerical methods for lattice equations with the Toda lattice
Applied Numerical Mathematics
journal-article
Numerical Inverse Scattering for the Toda Lattice
Communications in Mathematical Physics
journal-article
Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps
Symmetries and Integrability of Difference Equations
book-chapter
On the evolution of scattering data under perturbations of the Toda lattice
Physica D: Nonlinear Phenomena
journal-article