| 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 | 40 | 2019 |
| 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 | 27 | 2020 |
| 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 | 22 | 2019 |
| Numerical inverse scattering for the Toda lattice D Bilman, T Trogdon Communications in Mathematical Physics 352 (2), 805-879, 2017 | 8 | 2017 |
| On the evolution of scattering data under perturbations of the Toda lattice D Bilman, I Nenciu Physica D: Nonlinear Phenomena 330, 1-16, 2016 | 8 | 2016 |
| ISTPackage T Trogdon, D Bilman | 6 | 2013 |
| 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 | 4 | 2019 |
| On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data D Bilman, T Trogdon Nonlinearity 33 (5), 2211, 2020 | 2 | 2020 |
| Benchmarking numerical methods for lattice equations with the Toda lattice D Bilman, T Trogdon Applied Numerical Mathematics 141, 19-35, 2019 | 2 | 2019 |
| Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps D Bilman, S Konstantinou-Rizos Symmetries and Integrability of Difference Equations, 195-260, 2017 | 2 | 2017 |
| Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime D Bilman, PD Miller arXiv preprint arXiv:2103.00337, 2021 | 1 | 2021 |
| On long-time asymptotics for the Toda lattice and its Hamiltonian perturbations D Bilman University of Illinois at Chicago, 2015 | 1 | 2015 |
| ON SPECIAL SOLUTIONS OF THE ZAKHAROV–SCHULMAN EQUATIONS D Bilman | | 2009 |
| Integrating Ordinary Differential Equations Using Lie Symmetries D Bilman | | 2006 |
Peter MillerProfessor of Mathematics, University of MichiganVerified email at umich.edu
