Deniz Bilman
Title
Cited by
Cited by
Year
A robust inverse scattering transform for the focusing nonlinear Schrödinger equation
D Bilman, PD Miller
Communications on Pure and Applied Mathematics 72 (8), 1722-1805, 2019
402019
Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
D Bilman, L Ling, PD Miller
Duke Mathematical Journal 169 (4), 671-760, 2020
272020
Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
D Bilman, R Buckingham
Journal of Nonlinear Science 29 (5), 2185-2229, 2019
222019
Numerical inverse scattering for the Toda lattice
D Bilman, T Trogdon
Communications in Mathematical Physics 352 (2), 805-879, 2017
82017
On the evolution of scattering data under perturbations of the Toda lattice
D Bilman, I Nenciu
Physica D: Nonlinear Phenomena 330, 1-16, 2016
82016
ISTPackage
T Trogdon, D Bilman
62013
Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrodinger Equation II: Far-Field Behavior
D Bilman, R Buckingham, DS Wang
arXiv preprint arXiv:1911.04327, 2019
42019
On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data
D Bilman, T Trogdon
Nonlinearity 33 (5), 2211, 2020
22020
Benchmarking numerical methods for lattice equations with the Toda lattice
D Bilman, T Trogdon
Applied Numerical Mathematics 141, 19-35, 2019
22019
Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps
D Bilman, S Konstantinou-Rizos
Symmetries and Integrability of Difference Equations, 195-260, 2017
22017
Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime
D Bilman, PD Miller
arXiv preprint arXiv:2103.00337, 2021
12021
On long-time asymptotics for the Toda lattice and its Hamiltonian perturbations
D Bilman
University of Illinois at Chicago, 2015
12015
ON SPECIAL SOLUTIONS OF THE ZAKHAROV–SCHULMAN EQUATIONS
D Bilman
2009
Integrating Ordinary Differential Equations Using Lie Symmetries
D Bilman
2006
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Articles 1–14